-5x^2-8x+1x=3

Solution for -5x^2-8x+1x=3 equation:

Simplifying
-5x2 + -8x + 1x = 3

Reorder the terms:
-8x + 1x + -5x2 = 3

Combine like terms: -8x + 1x = -7x
-7x + -5x2 = 3

Solving
-7x + -5x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + -7x + -5x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -7x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 7x + 5x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + 7x + 5x2)' equal to zero and attempt to solve:

Simplifying
3 + 7x + 5x2 = 0

Solving
3 + 7x + 5x2 = 0

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

Divide each side by '5'.
0.6 + 1.4x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 1.4x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 1.4x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 1.4x + x2 = 0 + -0.6
1.4x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
1.4x + x2 = -0.6

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -0.6 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -0.6 + 0.49

Combine like terms: -0.6 + 0.49 = -0.11
0.49 + 1.4x + x2 = -0.11

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -0.11

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.