5x(5x)-7x=-2

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Solution for 5x(5x)-7x=-2 equation: 


Simplifying
5x(5x) + -7x = -2

Remove parenthesis around (5x)
5x * 5x + -7x = -2

Reorder the terms for easier multiplication:
5 * 5x * x + -7x = -2

Multiply 5 * 5
25x * x + -7x = -2

Multiply x * x
25x2 + -7x = -2

Reorder the terms:
-7x + 25x2 = -2

Solving
-7x + 25x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + -7x + 25x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -7x + 25x2 = 0

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

Divide each side by '25'.
0.08 + -0.28x + x2 = 0

Move the constant term to the right:

Add '-0.08' to each side of the equation.
0.08 + -0.28x + -0.08 + x2 = 0 + -0.08

Reorder the terms:
0.08 + -0.08 + -0.28x + x2 = 0 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + -0.28x + x2 = 0 + -0.08
-0.28x + x2 = 0 + -0.08

Combine like terms: 0 + -0.08 = -0.08
-0.28x + x2 = -0.08

The x term is -0.28x.  Take half its coefficient (-0.14).
Square it (0.0196) and add it to both sides.

Add '0.0196' to each side of the equation.
-0.28x + 0.0196 + x2 = -0.08 + 0.0196

Reorder the terms:
0.0196 + -0.28x + x2 = -0.08 + 0.0196

Combine like terms: -0.08 + 0.0196 = -0.0604
0.0196 + -0.28x + x2 = -0.0604

Factor a perfect square on the left side:
(x + -0.14)(x + -0.14) = -0.0604

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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