-125x^2-8=(-5x-2)

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Solution for -125x^2-8=(-5x-2) equation: 


Simplifying
-125x2 + -8 = (-5x + -2)

Reorder the terms:
-8 + -125x2 = (-5x + -2)

Reorder the terms:
-8 + -125x2 = (-2 + -5x)

Remove parenthesis around (-2 + -5x)
-8 + -125x2 = -2 + -5x

Solving
-8 + -125x2 = -2 + -5x

Solving for variable 'x'.

Reorder the terms:
-8 + 2 + 5x + -125x2 = -2 + -5x + 2 + 5x

Combine like terms: -8 + 2 = -6
-6 + 5x + -125x2 = -2 + -5x + 2 + 5x

Reorder the terms:
-6 + 5x + -125x2 = -2 + 2 + -5x + 5x

Combine like terms: -2 + 2 = 0
-6 + 5x + -125x2 = 0 + -5x + 5x
-6 + 5x + -125x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 5x + -125x2 = 0

Begin completing the square.  Divide all terms by
-125 the coefficient of the squared term: 

Divide each side by '-125'.
0.048 + -0.04x + x2 = 0

Move the constant term to the right:

Add '-0.048' to each side of the equation.
0.048 + -0.04x + -0.048 + x2 = 0 + -0.048

Reorder the terms:
0.048 + -0.048 + -0.04x + x2 = 0 + -0.048

Combine like terms: 0.048 + -0.048 = 0.000
0.000 + -0.04x + x2 = 0 + -0.048
-0.04x + x2 = 0 + -0.048

Combine like terms: 0 + -0.048 = -0.048
-0.04x + x2 = -0.048

The x term is -0.04x.  Take half its coefficient (-0.02).
Square it (0.0004) and add it to both sides.

Add '0.0004' to each side of the equation.
-0.04x + 0.0004 + x2 = -0.048 + 0.0004

Reorder the terms:
0.0004 + -0.04x + x2 = -0.048 + 0.0004

Combine like terms: -0.048 + 0.0004 = -0.0476
0.0004 + -0.04x + x2 = -0.0476

Factor a perfect square on the left side:
(x + -0.02)(x + -0.02) = -0.0476

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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