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

Find the unknown.$$(x+1)(2 x-3)=12$$

$$-5 / 2,3$$

Algebra

Chapter 0

Reviewing the Basics

Section 2

Solving Equations of the Form $a x^{2}-b=0$

Equations and Inequalities

Oregon State University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:56

Find the unknown.$$(x-…

00:24

Find the value of $x$$…

01:53

Solve the equation.$$<…

00:28

Solve.$$-12=-2 x+3…

00:22

Find the value of $x .$

00:23

01:06

Solve.$$\frac{3 x+4}{1…

01:37

Solve: $12-2(3 x+1)=4 x-5$…

all right. This problem has, uh, a lot of work to it. We need to start by distributing on the left side because we want to get this to be a quadratic. So you're gonna see me distribute this X to each term. So we're looking at two x squared would have a minus three x plus two x so that's minus one X. Um, and then one times negative three is negative. Three. So some people call that foiling. Some people call it, I don't know, distributing. Um So the next thing is, once you identify that, that's a quadratic. You need it equal to zero, so we can subtract that 12 over. So on the left side, we have two x squared minus one x, and then that's minus 15. Now, I'm a big fan of guessing and checking when you are factoring, especially when there's only one way of getting two x squared. That's two x Times X. There's a couple different ways of getting 15. But what makes the most sense to me is five and three. So then I methodically think about Well, if I did five and three, it makes more sense about a five here and three here because two times three would give me six. We make it negative and then a five x in between. Um, so negative six X plus five acts would give me negative one x and five times 33 is still negative. 15. So now we're ready to use the zero product property, Which would be that the left side, either two X plus five News equals zero. Because if that zero and then zero times anything is zero or X minus three needs to equal zero because anything times zero equals zero. So to solve this pretty straightforward, you subtract five over and then divide by two to get excel by itself. That's one answer That's a negative 5/2, or this one's really is. You just add three to the right side and zero plus three exit equal three. So those are your two answers for this problem, so yeah,

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:22

In each of the following, solve the given quadratic equation exactly using t…

03:24

Find the slope, $x$ -intercept and $y$ -intercept of the given line.$$1.…

02:19

Determine if the given set is a function.$h=\{(3,-5),(4,-5),(7,11),(11,1…

02:06

Solve for the indicated variable.$$\text { For } h: V=\pi r^{2} h$$

00:32

Find the unknown.$$x^{2}-4=21$$

01:58

Find the unknown.$$(y-5)^{2}+12=0$$

02:17

Find the unknown.$$\frac{2}{3}(x+3)^{2}=12$$

05:39

In each of the following exercises, solve the given inequality.$$\frac{(…

04:41

Solve for the unknown, and then check your solution.$$9-5 r=4 r+11$$

01:33

Rewrite the equation in the form $a x^{2}+b x+c=0,$ with $a > 0,$ and the…