(2x+9)(2x+9)=36

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Solution for (2x+9)(2x+9)=36 equation: 


Simplifying
(2x + 9)(2x + 9) = 36

Reorder the terms:
(9 + 2x)(2x + 9) = 36

Reorder the terms:
(9 + 2x)(9 + 2x) = 36

Multiply (9 + 2x) * (9 + 2x)
(9(9 + 2x) + 2x * (9 + 2x)) = 36
((9 * 9 + 2x * 9) + 2x * (9 + 2x)) = 36
((81 + 18x) + 2x * (9 + 2x)) = 36
(81 + 18x + (9 * 2x + 2x * 2x)) = 36
(81 + 18x + (18x + 4x2)) = 36

Combine like terms: 18x + 18x = 36x
(81 + 36x + 4x2) = 36

Solving
81 + 36x + 4x2 = 36

Solving for variable 'x'.

Reorder the terms:
81 + -36 + 36x + 4x2 = 36 + -36

Combine like terms: 81 + -36 = 45
45 + 36x + 4x2 = 36 + -36

Combine like terms: 36 + -36 = 0
45 + 36x + 4x2 = 0

Factor a trinomial.
(15 + 2x)(3 + 2x) = 0


Subproblem 1
Set the factor '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-7.5, -1.5}

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