Question

Solve each equation. $$ 6 w(w+2)=0 $$

   Solve each equation.
$$
6 w(w+2)=0
$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 7, Problem 12

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 $w$. Show more…

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Solve each equation. $$ 6 w(w+2)=0 $$

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Key Concepts

Factoring

Factoring is the process of rewriting an algebraic expression as a product of simpler expressions. In solving equations, factoring can simplify a polynomial into components, making it possible to apply the Zero Product Property and solve for the variable.

Solving Linear Equations

After factoring a polynomial equation, each factor typically results in a simpler, often linear, equation. Solving these individual linear equations yields the solutions to the original problem by isolating the variable using basic algebraic operations.

Zero Product Property

The Zero Product Property states that if the product of two expressions is zero, then at least one of the expressions must be zero. This principle allows one to set each factor of a multiplied equation equal to zero and solve for the variable.

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