Question

Solve each equation. $(x-6)(2 x+1)=0$

   Solve each equation.
$(x-6)(2 x+1)=0$

Algebra A Combined Function

Algebra A Combined Function

Elayn Martin-Gay 4th Edition

Chapter 10, Problem 75

Instant Answer

Solved by Expert Victor Salazar

02/08/2022

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. So, we can set each factor equal to zero and solve for $x$. Show more…

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Solve each equation. $(x-6)(2 x+1)=0$

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Key Concepts

Linear Equations

Linear equations are equations in which the variable is raised only to the first power. Solving these equations involves isolating the variable on one side, a fundamental step when applying the zero product property to each factor in an equation.

Zero Product Property

The zero product property states that if a product of factors equals zero, then at least one of the factors must be zero. This principle is essential in algebra for breaking down polynomial equations into simpler parts that can be solved individually.

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