(5x-1)(5x-1)=9

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Solution for (5x-1)(5x-1)=9 equation: 


Simplifying
(5x + -1)(5x + -1) = 9

Reorder the terms:
(-1 + 5x)(5x + -1) = 9

Reorder the terms:
(-1 + 5x)(-1 + 5x) = 9

Multiply (-1 + 5x) * (-1 + 5x)
(-1(-1 + 5x) + 5x * (-1 + 5x)) = 9
((-1 * -1 + 5x * -1) + 5x * (-1 + 5x)) = 9
((1 + -5x) + 5x * (-1 + 5x)) = 9
(1 + -5x + (-1 * 5x + 5x * 5x)) = 9
(1 + -5x + (-5x + 25x2)) = 9

Combine like terms: -5x + -5x = -10x
(1 + -10x + 25x2) = 9

Solving
1 + -10x + 25x2 = 9

Solving for variable 'x'.

Reorder the terms:
1 + -9 + -10x + 25x2 = 9 + -9

Combine like terms: 1 + -9 = -8
-8 + -10x + 25x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-8 + -10x + 25x2 = 0

Factor a trinomial.
(-2 + -5x)(4 + -5x) = 0


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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 = {-0.4, 0.8}

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