Question

Solve each equation. $$ 4 x^{2}=8 x $$

Name: Problem 25, Chapter 5: Intermediate Algebra
Uploaded: 2023-02-17T19:09:51-08:00
Channel: Alison Rodriguez
Description: Solve each equation. 4 x^2=8 x

   Solve each equation.
$$
4 x^{2}=8 x
$$

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 5, Problem 25

Instant Answer

Solved by Expert Alison Rodriguez

02/17/2023

Step 1

We do this by subtracting 8x from both sides of the equation. This gives us: $$ 4x^{2} - 8x = 0 $$ Show more…

Show all steps

Thanks for your feedback!

Solve each equation. $$ 4 x^{2}=8 x $$

Play audio

Feedback

Alison Rodriguez and 83 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Quadratic Equations

Quadratic equations are polynomial equations of degree two, typically expressed in the form ax² + bx + c = 0. Understanding quadratic equations is fundamental to algebra as they model various phenomena in science and engineering and help develop problem-solving skills involving polynomial functions.

Factoring

Factoring is a method used to simplify and solve polynomial equations by expressing a polynomial as a product of simpler factors. In the context of quadratic equations, factoring facilitates the process of finding the roots by breaking down the equation into factors that can be set equal to zero.

Zero Product Property

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero. This principle is crucial in solving equations after factoring, as it allows one to set each individual factor equal to zero and solve for the variable.

Please give Ace some feedback