(2x+24)(4x+36)=

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Solution for (2x+24)(4x+36)= equation: 


Simplifying
(2x + 24)(4x + 36) = 0

Reorder the terms:
(24 + 2x)(4x + 36) = 0

Reorder the terms:
(24 + 2x)(36 + 4x) = 0

Multiply (24 + 2x) * (36 + 4x)
(24(36 + 4x) + 2x * (36 + 4x)) = 0
((36 * 24 + 4x * 24) + 2x * (36 + 4x)) = 0
((864 + 96x) + 2x * (36 + 4x)) = 0
(864 + 96x + (36 * 2x + 4x * 2x)) = 0
(864 + 96x + (72x + 8x2)) = 0

Combine like terms: 96x + 72x = 168x
(864 + 168x + 8x2) = 0

Solving
864 + 168x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(108 + 21x + x2) = 0

Factor a trinomial.
8((12 + x)(9 + x)) = 0

Ignore the factor 8.

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

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12

Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {-12, -9}

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