(3x+18)(3x+18)=36

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Solution for (3x+18)(3x+18)=36 equation: 


Simplifying
(3x + 18)(3x + 18) = 36

Reorder the terms:
(18 + 3x)(3x + 18) = 36

Reorder the terms:
(18 + 3x)(18 + 3x) = 36

Multiply (18 + 3x) * (18 + 3x)
(18(18 + 3x) + 3x * (18 + 3x)) = 36
((18 * 18 + 3x * 18) + 3x * (18 + 3x)) = 36
((324 + 54x) + 3x * (18 + 3x)) = 36
(324 + 54x + (18 * 3x + 3x * 3x)) = 36
(324 + 54x + (54x + 9x2)) = 36

Combine like terms: 54x + 54x = 108x
(324 + 108x + 9x2) = 36

Solving
324 + 108x + 9x2 = 36

Solving for variable 'x'.

Reorder the terms:
324 + -36 + 108x + 9x2 = 36 + -36

Combine like terms: 324 + -36 = 288
288 + 108x + 9x2 = 36 + -36

Combine like terms: 36 + -36 = 0
288 + 108x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(32 + 12x + x2) = 0

Factor a trinomial.
9((8 + x)(4 + x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-8, -4}

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