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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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