-10x^2-8x-4=-2

Solution for -10x^2-8x-4=-2 equation:

Simplifying
-10x2 + -8x + -4 = -2

Reorder the terms:
-4 + -8x + -10x2 = -2

Solving
-4 + -8x + -10x2 = -2

Solving for variable 'x'.

Reorder the terms:
-4 + 2 + -8x + -10x2 = -2 + 2

Combine like terms: -4 + 2 = -2
-2 + -8x + -10x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-2 + -8x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 4x + 5x2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(1 + 4x + 5x2)' equal to zero and attempt to solve:

Simplifying
1 + 4x + 5x2 = 0

Solving
1 + 4x + 5x2 = 0

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

Divide each side by '5'.
0.2 + 0.8x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 0.8x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.8x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8x + x2 = 0 + -0.2
0.8x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.8x + x2 = -0.2

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -0.2 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -0.2 + 0.16

Combine like terms: -0.2 + 0.16 = -0.04
0.16 + 0.8x + x2 = -0.04

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.