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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 315 (page 893)

In the following exercises, solve.
$(x - 3) (x + 7) = 0$

Short Answer

Expert verified

The solution is $x = 3, - 7 .$

Step by step solution

01

Step 1. Given Information.

The given equation is $(x - 3) (x + 7) = 0$

02

Step 2. Solution of the equation.

Using the Zero Product Property,

$x - 3 = 0 x = 3 A l s o, x + 7 = 0 x = - 7$

03

Step 3. Checking the solution

On substituting $x = 3$ ,

$(3 - 3) (x + 7) = 0 0 (x + 7) = 0 0 = 0$

which is true.

On substituting $x = - 7,$

$(x - 3) (- 7 + 7) = 0 (x - 3) (0) = 0 0 = 0$

which is true.

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