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Simplifying
5(x + 5)(x + -5) = 0
Reorder the terms:
5(5 + x)(x + -5) = 0
Reorder the terms:
5(5 + x)(-5 + x) = 0
Multiply (5 + x) * (-5 + x)
5(5(-5 + x) + x(-5 + x)) = 0
5((-5 * 5 + x * 5) + x(-5 + x)) = 0
5((-25 + 5x) + x(-5 + x)) = 0
5(-25 + 5x + (-5 * x + x * x)) = 0
5(-25 + 5x + (-5x + x2)) = 0
Combine like terms: 5x + -5x = 0
5(-25 + 0 + x2) = 0
5(-25 + x2) = 0
(-25 * 5 + x2 * 5) = 0
(-125 + 5x2) = 0
Solving
-125 + 5x2 = 0
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 = 0 + 125
Combine like terms: -125 + 125 = 0
0 + 5x2 = 0 + 125
5x2 = 0 + 125
Combine like terms: 0 + 125 = 125
5x2 = 125
Divide each side by '5'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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