(5x-1)(5x-1)+7=0

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Solution for (5x-1)(5x-1)+7=0 equation: 


Simplifying
(5x + -1)(5x + -1) + 7 = 0

Reorder the terms:
(-1 + 5x)(5x + -1) + 7 = 0

Reorder the terms:
(-1 + 5x)(-1 + 5x) + 7 = 0

Multiply (-1 + 5x) * (-1 + 5x)
(-1(-1 + 5x) + 5x * (-1 + 5x)) + 7 = 0
((-1 * -1 + 5x * -1) + 5x * (-1 + 5x)) + 7 = 0
((1 + -5x) + 5x * (-1 + 5x)) + 7 = 0
(1 + -5x + (-1 * 5x + 5x * 5x)) + 7 = 0
(1 + -5x + (-5x + 25x2)) + 7 = 0

Combine like terms: -5x + -5x = -10x
(1 + -10x + 25x2) + 7 = 0

Reorder the terms:
1 + 7 + -10x + 25x2 = 0

Combine like terms: 1 + 7 = 8
8 + -10x + 25x2 = 0

Solving
8 + -10x + 25x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
25 the coefficient of the squared term: 

Divide each side by '25'.
0.32 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-0.32' to each side of the equation.
0.32 + -0.4x + -0.32 + x2 = 0 + -0.32

Reorder the terms:
0.32 + -0.32 + -0.4x + x2 = 0 + -0.32

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + -0.4x + x2 = 0 + -0.32
-0.4x + x2 = 0 + -0.32

Combine like terms: 0 + -0.32 = -0.32
-0.4x + x2 = -0.32

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.32 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.32 + 0.04

Combine like terms: -0.32 + 0.04 = -0.28
0.04 + -0.4x + x2 = -0.28

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -0.28

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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