5x^2-2x=-4

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

Simplifying
5x2 + -2x = -4

Reorder the terms:
-2x + 5x2 = -4

Solving
-2x + 5x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + -2x + 5x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -2x + 5x2 = 0

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

Divide each side by '5'.
0.8 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -0.4x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -0.4x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.4x + x2 = 0 + -0.8
-0.4x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-0.4x + x2 = -0.8

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.8 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.8 + 0.04

Combine like terms: -0.8 + 0.04 = -0.76
0.04 + -0.4x + x2 = -0.76

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -0.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.