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Simplifying
5(5 + -1x)(5 + x) = 55
Multiply (5 + -1x) * (5 + x)
5(5(5 + x) + -1x * (5 + x)) = 55
5((5 * 5 + x * 5) + -1x * (5 + x)) = 55
5((25 + 5x) + -1x * (5 + x)) = 55
5(25 + 5x + (5 * -1x + x * -1x)) = 55
5(25 + 5x + (-5x + -1x2)) = 55
Combine like terms: 5x + -5x = 0
5(25 + 0 + -1x2) = 55
5(25 + -1x2) = 55
(25 * 5 + -1x2 * 5) = 55
(125 + -5x2) = 55
Solving
125 + -5x2 = 55
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-125' to each side of the equation.
125 + -125 + -5x2 = 55 + -125
Combine like terms: 125 + -125 = 0
0 + -5x2 = 55 + -125
-5x2 = 55 + -125
Combine like terms: 55 + -125 = -70
-5x2 = -70
Divide each side by '-5'.
x2 = 14
Simplifying
x2 = 14
Take the square root of each side:
x = {-3.741657387, 3.741657387}
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