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Simplifying
5(x + -5)(x + 5) + -25 = 55
Reorder the terms:
5(-5 + x)(x + 5) + -25 = 55
Reorder the terms:
5(-5 + x)(5 + x) + -25 = 55
Multiply (-5 + x) * (5 + x)
5(-5(5 + x) + x(5 + x)) + -25 = 55
5((5 * -5 + x * -5) + x(5 + x)) + -25 = 55
5((-25 + -5x) + x(5 + x)) + -25 = 55
5(-25 + -5x + (5 * x + x * x)) + -25 = 55
5(-25 + -5x + (5x + x2)) + -25 = 55
Combine like terms: -5x + 5x = 0
5(-25 + 0 + x2) + -25 = 55
5(-25 + x2) + -25 = 55
(-25 * 5 + x2 * 5) + -25 = 55
(-125 + 5x2) + -25 = 55
Reorder the terms:
-125 + -25 + 5x2 = 55
Combine like terms: -125 + -25 = -150
-150 + 5x2 = 55
Solving
-150 + 5x2 = 55
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '150' to each side of the equation.
-150 + 150 + 5x2 = 55 + 150
Combine like terms: -150 + 150 = 0
0 + 5x2 = 55 + 150
5x2 = 55 + 150
Combine like terms: 55 + 150 = 205
5x2 = 205
Divide each side by '5'.
x2 = 41
Simplifying
x2 = 41
Take the square root of each side:
x = {-6.403124237, 6.403124237}
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