9((x+5)(x+5))=36

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Solution for 9((x+5)(x+5))=36 equation: 


Simplifying
9((x + 5)(x + 5)) = 36

Reorder the terms:
9((5 + x)(x + 5)) = 36

Reorder the terms:
9((5 + x)(5 + x)) = 36

Multiply (5 + x) * (5 + x)
9((5(5 + x) + x(5 + x))) = 36
9(((5 * 5 + x * 5) + x(5 + x))) = 36
9(((25 + 5x) + x(5 + x))) = 36
9((25 + 5x + (5 * x + x * x))) = 36
9((25 + 5x + (5x + x2))) = 36

Combine like terms: 5x + 5x = 10x
9((25 + 10x + x2)) = 36
(25 * 9 + 10x * 9 + x2 * 9) = 36
(225 + 90x + 9x2) = 36

Solving
225 + 90x + 9x2 = 36

Solving for variable 'x'.

Reorder the terms:
225 + -36 + 90x + 9x2 = 36 + -36

Combine like terms: 225 + -36 = 189
189 + 90x + 9x2 = 36 + -36

Combine like terms: 36 + -36 = 0
189 + 90x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(21 + 10x + x2) = 0

Factor a trinomial.
9((7 + x)(3 + x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {-7, -3}

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