-5x^2-x=4

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Solution for -5x^2-x=4 equation: 


Simplifying
-5x2 + -1x = 4

Reorder the terms:
-1x + -5x2 = 4

Solving
-1x + -5x2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + -1x + -5x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -1x + -5x2 = 0

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

Ignore the factor -1.

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

Simplifying
4 + x + 5x2 = 0

Solving
4 + x + 5x2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.2x + 0.25 + x2 = -0.8 + 0.25

Reorder the terms:
0.25 + 0.2x + x2 = -0.8 + 0.25

Combine like terms: -0.8 + 0.25 = -0.55
0.25 + 0.2x + x2 = -0.55

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.55

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.

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