Chapter 6: Q. 6.87 (page 617)

Solve, $(3 m - 2) (2 m + 1) = 0$

Short Answer

Expert verified

The value is $m = \frac{2}{3}, \frac{- 1}{2}$

Step by step solution

Given information

Given the equation $(3 m - 2) (2 m + 1) = 0$

Using the zero factor principle

Using the principle, we get

$(3 m - 2) (2 m + 1) = 0 3 m - 2 = 0 2 m + 1 = 0 m = \frac{2}{3}, \frac{- 1}{2}$

Checking the values

Substituting the values and checking, we get

$(3 m - 2) (2 m + 1) = 0 (3 \times \frac{2}{3} - 2) (2 \times \frac{2}{3} + 1) = 0 0 = 0$

This is true

Checking another value

Checking the other value, we get

$(3 m - 2) (2 m + 1) = 0 (3 \times \frac{- 1}{2}) (2 \times \frac{- 1}{2} + 1) = 0 0 = 0$

This is true

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Solve, $(3 m - 2) (2 m + 1) = 0$

Short Answer

Step by step solution

Given information

Using the zero factor principle

Checking the values

Checking another value

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Solve,(3m-2)(2m+1)=0

Short Answer

Step by step solution

Given information

Using the zero factor principle

Checking the values

Checking another value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Geometry

Discrete Mathematics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve, $(3 m - 2) (2 m + 1) = 0$