(4x+9)(4x+9)=36

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Solution for (4x+9)(4x+9)=36 equation: 


Simplifying
(4x + 9)(4x + 9) = 36

Reorder the terms:
(9 + 4x)(4x + 9) = 36

Reorder the terms:
(9 + 4x)(9 + 4x) = 36

Multiply (9 + 4x) * (9 + 4x)
(9(9 + 4x) + 4x * (9 + 4x)) = 36
((9 * 9 + 4x * 9) + 4x * (9 + 4x)) = 36
((81 + 36x) + 4x * (9 + 4x)) = 36
(81 + 36x + (9 * 4x + 4x * 4x)) = 36
(81 + 36x + (36x + 16x2)) = 36

Combine like terms: 36x + 36x = 72x
(81 + 72x + 16x2) = 36

Solving
81 + 72x + 16x2 = 36

Solving for variable 'x'.

Reorder the terms:
81 + -36 + 72x + 16x2 = 36 + -36

Combine like terms: 81 + -36 = 45
45 + 72x + 16x2 = 36 + -36

Combine like terms: 36 + -36 = 0
45 + 72x + 16x2 = 0

Factor a trinomial.
(15 + 4x)(3 + 4x) = 0


Subproblem 1
Set the factor '(15 + 4x)' equal to zero and attempt to solve:

Simplifying
15 + 4x = 0

Solving
15 + 4x = 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 + 4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 0 + -15
4x = 0 + -15

Combine like terms: 0 + -15 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75

Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-3.75, -0.75}

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