(5x-1)(5x-1)=4

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Solution for (5x-1)(5x-1)=4 equation: 


Simplifying
(5x + -1)(5x + -1) = 4

Reorder the terms:
(-1 + 5x)(5x + -1) = 4

Reorder the terms:
(-1 + 5x)(-1 + 5x) = 4

Multiply (-1 + 5x) * (-1 + 5x)
(-1(-1 + 5x) + 5x * (-1 + 5x)) = 4
((-1 * -1 + 5x * -1) + 5x * (-1 + 5x)) = 4
((1 + -5x) + 5x * (-1 + 5x)) = 4
(1 + -5x + (-1 * 5x + 5x * 5x)) = 4
(1 + -5x + (-5x + 25x2)) = 4

Combine like terms: -5x + -5x = -10x
(1 + -10x + 25x2) = 4

Solving
1 + -10x + 25x2 = 4

Solving for variable 'x'.

Reorder the terms:
1 + -4 + -10x + 25x2 = 4 + -4

Combine like terms: 1 + -4 = -3
-3 + -10x + 25x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-3 + -10x + 25x2 = 0

Factor a trinomial.
(-1 + -5x)(3 + -5x) = 0


Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve:

Simplifying
-1 + -5x = 0

Solving
-1 + -5x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 0 + 1
-5x = 0 + 1

Combine like terms: 0 + 1 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-0.2, 0.6}

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