(2X+-3)(2X+3)+-135=0

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Solution for (2X+-3)(2X+3)+-135=0 equation: 


Simplifying
(2X + -3)(2X + 3) + -135 = 0

Reorder the terms:
(-3 + 2X)(2X + 3) + -135 = 0

Reorder the terms:
(-3 + 2X)(3 + 2X) + -135 = 0

Multiply (-3 + 2X) * (3 + 2X)
(-3(3 + 2X) + 2X * (3 + 2X)) + -135 = 0
((3 * -3 + 2X * -3) + 2X * (3 + 2X)) + -135 = 0
((-9 + -6X) + 2X * (3 + 2X)) + -135 = 0
(-9 + -6X + (3 * 2X + 2X * 2X)) + -135 = 0
(-9 + -6X + (6X + 4X2)) + -135 = 0

Combine like terms: -6X + 6X = 0
(-9 + 0 + 4X2) + -135 = 0
(-9 + 4X2) + -135 = 0

Reorder the terms:
-9 + -135 + 4X2 = 0

Combine like terms: -9 + -135 = -144
-144 + 4X2 = 0

Solving
-144 + 4X2 = 0

Solving for variable 'X'.

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

Add '144' to each side of the equation.
-144 + 144 + 4X2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 4X2 = 0 + 144
4X2 = 0 + 144

Combine like terms: 0 + 144 = 144
4X2 = 144

Divide each side by '4'.
X2 = 36

Simplifying
X2 = 36

Take the square root of each side:
X = {-6, 6}

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