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

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


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

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

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

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

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

Multiply 9 * 9
1 + -10x + 25x2 = 81

Solving
1 + -10x + 25x2 = 81

Solving for variable 'x'.

Reorder the terms:
1 + -81 + -10x + 25x2 = 81 + -81

Combine like terms: 1 + -81 = -80
-80 + -10x + 25x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-80 + -10x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-16 + -2x + 5x2) = 0

Factor a trinomial.
5((-8 + -5x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.6, 2}

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