Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Solve each equation, and check your solutions.$$(x+3)^{2}-(2 x-1)^{2}=0$$

$\left\{-\frac{2}{3}, 4\right\}$

Algebra

Chapter 5

Factoring and Applications

Section 5

Solving Quadratic Equations by Factoring

Whole which of Numbers

Polynomials

Exponential and Logarithmic Functions

Missouri State University

Baylor University

University of Michigan - Ann Arbor

Lectures

04:25

Solve each equation.$$…

01:19

Find the real solutions of…

00:10

Solve each equation. $…

01:13

05:27

Solve each equation. Check…

09:46

Solve the equation to find…

01:56

03:20

Find all real solutions to…

02:54

01:48

05:07

01:08

Find all real solutions of…

00:52

Solve each equation. See E…

02:06

02:08

09:20

02:26

find the real solutions, i…

01:03

first I need to do here is square each binomial. Remember, this is the same as having the same binomial twice, so that would foil to be X squared. I have outers intercepted the same so it's always two times that. Products that would be plus six x plus nine do the same thing. But here I have to be careful because of the minus, and I'm going to keep that in parentheses, the before X squared, multiply and double because there's gonna be two of the same things that we minus four X plus one again. You can just write it twice and foil that distribute the negative. So X squared plus six x plus nine minus four X squared plus four x minus one equals zero. Combine your like terms. I always like my square term to be positive, so I'm going to factor out a negative one. So I'm gonna have negative one times three X squared, minus 10 x minus eight equals zero. Next, they have to factor the try. No meal. That's left amount of room here. So let's go up here. So I'm still going to have that negative one and then I'm going to factor the try no meal and I'll try three x and x. Ah, I know I have to have different signs for the eight, so we'll have plus two and minus four. Let's double check years. That would be positive, too. And negative 12. Which would give me the correct, um, middle negative one can't make it zero, so I don't have to worry about that. But I know either three X plus two could be zero. Let's finish that. So three X equals negative, too. So one answer is negative. 2/3 the other one x minus four could be zero. So X could be four. So those to be my two solutions.

View More Answers From This Book

Find Another Textbook

Numerade Educator

00:34

Concept Check When a student was asked to determine whether the ordered pair…

02:50

Solve equation, and check your solutions.$\frac{3}{x-1}+\frac{2}{4 x-4}=…

00:53

In many cases, the choice of which pairs of terms to group when factoring by…

01:17

Solve each equation, and check your solutions. See Examples $2-7$.$$4 x(…

00:57

Write each rational expression in lowest terms.$$\frac{9 r^{2}-4 s^{…

00:36

Find each quotient. See Section 1.6$$\frac{7-(-2)}{-3-(-3)}$$

01:01

Apply the special factoring rules of this section to factor each binomial or…

01:54

Solve each problem. See Example 2.Howie Sorkin can travel 8 mi upstream …

00:48

Solve formula for the specified variable.$\frac{1}{x}=\frac{1}{y}-\frac{…

00:43

Astronomers using the Spitzer Space Telescope discovered a twisted double-he…