(5x-2)(5x-2)=4

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Solution for (5x-2)(5x-2)=4 equation: 


Simplifying
(5x + -2)(5x + -2) = 4

Reorder the terms:
(-2 + 5x)(5x + -2) = 4

Reorder the terms:
(-2 + 5x)(-2 + 5x) = 4

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

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

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

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

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

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

Solving
-20x + 25x2 = 0

Solving for variable 'x'.

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

Ignore the factor 5.

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 '(-4 + 5x)' equal to zero and attempt to solve:

Simplifying
-4 + 5x = 0

Solving
-4 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 0 + 4
5x = 0 + 4

Combine like terms: 0 + 4 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0, 0.8}

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