(2x-10)(2x-10)=0

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Solution for (2x-10)(2x-10)=0 equation: 


Simplifying
(2x + -10)(2x + -10) = 0

Reorder the terms:
(-10 + 2x)(2x + -10) = 0

Reorder the terms:
(-10 + 2x)(-10 + 2x) = 0

Multiply (-10 + 2x) * (-10 + 2x)
(-10(-10 + 2x) + 2x * (-10 + 2x)) = 0
((-10 * -10 + 2x * -10) + 2x * (-10 + 2x)) = 0
((100 + -20x) + 2x * (-10 + 2x)) = 0
(100 + -20x + (-10 * 2x + 2x * 2x)) = 0
(100 + -20x + (-20x + 4x2)) = 0

Combine like terms: -20x + -20x = -40x
(100 + -40x + 4x2) = 0

Solving
100 + -40x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + -10x + x2) = 0

Factor a trinomial.
4((5 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

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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