-5x+8=-2x^2-8x-2

Solution for -5x+8=-2x^2-8x-2 equation:

Simplifying
-5x + 8 = -2x2 + -8x + -2

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

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

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

Solving for variable 'x'.

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

Combine like terms: 8 + 2 = 10
10 + -5x + 8x + 2x2 = -2 + -8x + -2x2 + 2 + 8x + 2x2

Combine like terms: -5x + 8x = 3x
10 + 3x + 2x2 = -2 + -8x + -2x2 + 2 + 8x + 2x2

Reorder the terms:
10 + 3x + 2x2 = -2 + 2 + -8x + 8x + -2x2 + 2x2

Combine like terms: -2 + 2 = 0
10 + 3x + 2x2 = 0 + -8x + 8x + -2x2 + 2x2
10 + 3x + 2x2 = -8x + 8x + -2x2 + 2x2

Combine like terms: -8x + 8x = 0
10 + 3x + 2x2 = 0 + -2x2 + 2x2
10 + 3x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
10 + 3x + 2x2 = 0

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

Divide each side by '2'.
5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 1.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 1.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1.5x + x2 = 0 + -5
1.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
1.5x + x2 = -5

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -5 + 0.5625

Combine like terms: -5 + 0.5625 = -4.4375
0.5625 + 1.5x + x2 = -4.4375

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.