(2x-5)(2x-5)=25

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Solution for (2x-5)(2x-5)=25 equation: 


Simplifying
(2x + -5)(2x + -5) = 25

Reorder the terms:
(-5 + 2x)(2x + -5) = 25

Reorder the terms:
(-5 + 2x)(-5 + 2x) = 25

Multiply (-5 + 2x) * (-5 + 2x)
(-5(-5 + 2x) + 2x * (-5 + 2x)) = 25
((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) = 25
((25 + -10x) + 2x * (-5 + 2x)) = 25
(25 + -10x + (-5 * 2x + 2x * 2x)) = 25
(25 + -10x + (-10x + 4x2)) = 25

Combine like terms: -10x + -10x = -20x
(25 + -20x + 4x2) = 25

Add '-25' to each side of the equation.
25 + -20x + -25 + 4x2 = 25 + -25

Reorder the terms:
25 + -25 + -20x + 4x2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + -20x + 4x2 = 25 + -25
-20x + 4x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-20x + 4x2 = 0

Solving
-20x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + x) = 0

Ignore the factor 4.

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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 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 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Solution
x = {0, 5}

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