Question

Solve each equation. $$ d(d-12)=0 $$

Name: Problem 11, Chapter 7: Beginning and Intermediate Algebra
Uploaded: 2021-02-21T18:18:42-08:00
Duration: 1 min 1 s
Channel: Narayan Hari
Description: Solve each equation. d(d-12)=0

   Solve each equation.
$$
d(d-12)=0
$$

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 7, Problem 11

Instant Answer

Solved by Expert Narayan Hari

02/21/2021

Step 1

According to the zero product property, if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero and solve for $d$. Show more…

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Solve each equation. $$ d(d-12)=0 $$

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Key Concepts

Zero Product Property

The zero product property is a fundamental concept in algebra which states that if the product of two or more factors is equal to zero, then at least one of those factors must be equal to zero. This property allows one to break an equation into simpler parts by setting each factor equal to zero and solving for the variable.

Factoring

Factoring involves rewriting an algebraic expression as a product of simpler expressions or factors. This technique is particularly useful when solving equations, as it can simplify a complex expression into manageable pieces that can be individually set to zero, thereby revealing the solutions of the equation.

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