5x^2-4x=-6

Solution for 5x^2-4x=-6 equation:

Simplifying
5x2 + -4x = -6

Reorder the terms:
-4x + 5x2 = -6

Solving
-4x + 5x2 = -6

Solving for variable 'x'.

Reorder the terms:
6 + -4x + 5x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -4x + 5x2 = 0

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

Divide each side by '5'.
1.2 + -0.8x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.8x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.8x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.8x + x2 = 0 + -1.2
-0.8x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.8x + x2 = -1.2

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -1.2 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -1.2 + 0.16

Combine like terms: -1.2 + 0.16 = -1.04
0.16 + -0.8x + x2 = -1.04

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -1.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.