(-5x+1)*(-5x+1)=25

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Solution for (-5x+1)*(-5x+1)=25 equation: 


Simplifying
(-5x + 1)(-5x + 1) = 25

Reorder the terms:
(1 + -5x)(-5x + 1) = 25

Reorder the terms:
(1 + -5x)(1 + -5x) = 25

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

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

Solving
1 + -10x + 25x2 = 25

Solving for variable 'x'.

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

Combine like terms: 1 + -25 = -24
-24 + -10x + 25x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-24 + -10x + 25x2 = 0

Factor a trinomial.
(-4 + -5x)(6 + -5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-0.8, 1.2}

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