-4=2x^2+x

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

Simplifying
-4 = 2x2 + x

Reorder the terms:
-4 = x + 2x2

Solving
-4 = x + 2x2

Solving for variable 'x'.

Reorder the terms:
-4 + -1x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
-4 + -1x + -2x2 = 0 + 2x2 + -2x2
-4 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4 + -1x + -2x2 = 0

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

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

Simplifying
4 + x + 2x2 = 0

Solving
4 + x + 2x2 = 0

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

Divide each side by '2'.
2 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.5x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 0.5x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.5x + x2 = 0 + -2
0.5x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.5x + x2 = -2

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.
0.5x + 0.25 + x2 = -2 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + 0.5x + x2 = -1.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.75

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.