Question

For what values of x is x^2 + 2x = 24 true?

Answer 1

Answer:

$x = -6, x = 4$

Step-by-step explanation:

Step 1:  Factor

Subtract 24 from both sides

$x^2 + 2x- 24 = 24 - 24$

$x^2 + 2x - 24 = 0$

Make two different x's

$x^2 + 2x - 24 = 0$

$x^2 + 6x - 4x - 24 = 0$

Make two different parenthesis

$x^2 + 6x - 4x - 24 = 0$

$(x + 6)(x - 4) = 0$

Step 2:  Solve for x in both equations

$x + 6 = 0$

$x + 6 - 6 = 0- 6$

$x = -6$

$x - 4 = 0$

$x - 4 + 4 = 0 + 4$

$x = 4$

Answer:  $x = -6, x = 4$