(2x+24)(x-6)=

Solution for (2x+24)(x-6)= equation:

Simplifying
(2x + 24)(x + -6) = 0

Reorder the terms:
(24 + 2x)(x + -6) = 0

Reorder the terms:
(24 + 2x)(-6 + x) = 0

Multiply (24 + 2x) * (-6 + x)
(24(-6 + x) + 2x * (-6 + x)) = 0
((-6 * 24 + x * 24) + 2x * (-6 + x)) = 0
((-144 + 24x) + 2x * (-6 + x)) = 0
(-144 + 24x + (-6 * 2x + x * 2x)) = 0
(-144 + 24x + (-12x + 2x2)) = 0

Combine like terms: 24x + -12x = 12x
(-144 + 12x + 2x2) = 0

Solving
-144 + 12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + 6x + x2) = 0

Factor a trinomial.
2((-12 + -1x)(6 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-12, 6}