Answer:
[tex]x = -6, x = 4[/tex]
Step-by-step explanation:
Step 1: Factor
Subtract 24 from both sides
[tex]x^2 + 2x- 24 = 24 - 24[/tex]
[tex]x^2 + 2x - 24 = 0[/tex]
Make two different x's
[tex]x^2 + 2x - 24 = 0[/tex]
[tex]x^2 + 6x - 4x - 24 = 0[/tex]
Make two different parenthesis
[tex]x^2 + 6x - 4x - 24 = 0[/tex]
[tex](x + 6)(x - 4) = 0[/tex]
Step 2: Solve for x in both equations
[tex]x + 6 = 0[/tex]
[tex]x + 6 - 6 = 0- 6[/tex]
[tex]x = -6[/tex]
[tex]x - 4 = 0[/tex]
[tex]x - 4 + 4 = 0 + 4[/tex]
[tex]x = 4[/tex]
Answer: [tex]x = -6, x = 4[/tex]
