=(4x^2)-(x-2)

Solution for =(4x^2)-(x-2) equation:

Simplifying
0 = (4x2) + -1(x + -2)

Reorder the terms:
0 = (4x2) + -1(-2 + x)
0 = (4x2) + (-2 * -1 + x * -1)
0 = (4x2) + (2 + -1x)

Reorder the terms:
0 = 2 + -1x + (4x2)

Solving
0 = 2 + -1x + (4x2)

Solving for variable 'x'.

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

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

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

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

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

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.5 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.25x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.25x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25x + x2 = 0 + -0.5
-0.25x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.25x + x2 = -0.5

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

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

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

Factor a perfect square on the left side:
((x) + 0.5)((x) + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.