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 = -10x
5(25 + -10x + x2) = 0
(25 * 5 + -10x * 5 + x2 * 5) = 0
(125 + -50x + 5x2) = 0

Solving
125 + -50x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(25 + -10x + x2) = 0

Factor a trinomial.
5((5 + -1x)(5 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {5, 5}

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