Question

Solve. $$ 7 x(x+5)(x-9)=0 $$

Name: Problem 95, Chapter 6: Elementary Algebra
Uploaded: 2022-02-03T04:12:20-08:00
Duration: 1 min 5 s
Channel: Sherrie Fenner
Description: Solve. 7 x(x+5)(x-9)=0

   Solve.
$$
7 x(x+5)(x-9)=0
$$

Elementary Algebra

John Redden 1st Edition

Chapter 6, Problem 95

Instant Answer

Solved by Expert Sherrie Fenner

02/03/2022

Step 1

Since the product of these terms equals zero, we know that at least one of the terms must be zero. Show more…

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Solve. $$ 7 x(x+5)(x-9)=0 $$

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Key Concepts

Zero Product Property

The zero product property states that if a product of several factors equals zero, then at least one of the factors must be zero. This principle is used in solving equations that have been factored, as it allows us to set each factor equal to zero and solve the resulting simpler equations.

Factorization

Factorization is the process of expressing a polynomial as a product of its factors, which can simplify solving polynomial equations. In this problem, the equation is already presented in a factored form, making it straightforward to apply the zero product property.

Solving Linear Equations

Once the equation has been factored, each factor set equal to zero forms a simple linear equation. Solving these linear equations individually yields the solutions to the original polynomial equation.

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