5(x-5)(x+5)=

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Solution for 5(x-5)(x+5)= equation:


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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