(x-5)(x-5)=25

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Solution for (x-5)(x-5)=25 equation:


Simplifying
(x + -5)(x + -5) = 25

Reorder the terms:
(-5 + x)(x + -5) = 25

Reorder the terms:
(-5 + x)(-5 + x) = 25

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) = 25
((-5 * -5 + x * -5) + x(-5 + x)) = 25
((25 + -5x) + x(-5 + x)) = 25
(25 + -5x + (-5 * x + x * x)) = 25
(25 + -5x + (-5x + x2)) = 25

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) = 25

Add '-25' to each side of the equation.
25 + -10x + -25 + x2 = 25 + -25

Reorder the terms:
25 + -25 + -10x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + -10x + x2 = 25 + -25
-10x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-10x + x2 = 0

Solving
-10x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10

Solution

x = {0, 10}

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