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

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


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

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

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

Multiply (3 + 3x) * (3 + 3x)
(3(3 + 3x) + 3x * (3 + 3x)) = 36
((3 * 3 + 3x * 3) + 3x * (3 + 3x)) = 36
((9 + 9x) + 3x * (3 + 3x)) = 36
(9 + 9x + (3 * 3x + 3x * 3x)) = 36
(9 + 9x + (9x + 9x2)) = 36

Combine like terms: 9x + 9x = 18x
(9 + 18x + 9x2) = 36

Solving
9 + 18x + 9x2 = 36

Solving for variable 'x'.

Reorder the terms:
9 + -36 + 18x + 9x2 = 36 + -36

Combine like terms: 9 + -36 = -27
-27 + 18x + 9x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-27 + 18x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-3 + 2x + x2) = 0

Factor a trinomial.
9((-3 + -1x)(1 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-3, 1}

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