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Simplifying
(2x + -3)(2x + 3) = 135
Reorder the terms:
(-3 + 2x)(2x + 3) = 135
Reorder the terms:
(-3 + 2x)(3 + 2x) = 135
Multiply (-3 + 2x) * (3 + 2x)
(-3(3 + 2x) + 2x * (3 + 2x)) = 135
((3 * -3 + 2x * -3) + 2x * (3 + 2x)) = 135
((-9 + -6x) + 2x * (3 + 2x)) = 135
(-9 + -6x + (3 * 2x + 2x * 2x)) = 135
(-9 + -6x + (6x + 4x2)) = 135
Combine like terms: -6x + 6x = 0
(-9 + 0 + 4x2) = 135
(-9 + 4x2) = 135
Solving
-9 + 4x2 = 135
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x2 = 135 + 9
Combine like terms: -9 + 9 = 0
0 + 4x2 = 135 + 9
4x2 = 135 + 9
Combine like terms: 135 + 9 = 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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