(24+2x)(18+2x)=0

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Solution for (24+2x)(18+2x)=0 equation: 


Simplifying
(24 + 2x)(18 + 2x) = 0

Multiply (24 + 2x) * (18 + 2x)
(24(18 + 2x) + 2x * (18 + 2x)) = 0
((18 * 24 + 2x * 24) + 2x * (18 + 2x)) = 0
((432 + 48x) + 2x * (18 + 2x)) = 0
(432 + 48x + (18 * 2x + 2x * 2x)) = 0
(432 + 48x + (36x + 4x2)) = 0

Combine like terms: 48x + 36x = 84x
(432 + 84x + 4x2) = 0

Solving
432 + 84x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(108 + 21x + x2) = 0

Factor a trinomial.
4((12 + x)(9 + x)) = 0

Ignore the factor 4.

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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