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Simplifying
(2x + -5)(2x + 5) = 119
Reorder the terms:
(-5 + 2x)(2x + 5) = 119
Reorder the terms:
(-5 + 2x)(5 + 2x) = 119
Multiply (-5 + 2x) * (5 + 2x)
(-5(5 + 2x) + 2x * (5 + 2x)) = 119
((5 * -5 + 2x * -5) + 2x * (5 + 2x)) = 119
((-25 + -10x) + 2x * (5 + 2x)) = 119
(-25 + -10x + (5 * 2x + 2x * 2x)) = 119
(-25 + -10x + (10x + 4x2)) = 119
Combine like terms: -10x + 10x = 0
(-25 + 0 + 4x2) = 119
(-25 + 4x2) = 119
Solving
-25 + 4x2 = 119
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 4x2 = 119 + 25
Combine like terms: -25 + 25 = 0
0 + 4x2 = 119 + 25
4x2 = 119 + 25
Combine like terms: 119 + 25 = 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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