6x^2=5x-6

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

Simplifying
6x2 = 5x + -6

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

Solving
6x2 = -6 + 5x

Solving for variable 'x'.

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

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

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

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

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

Divide each side by '6'.
1 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.8333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.8333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.8333333333x + x2 = 0 + -1
-0.8333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.8333333333x + x2 = -1

The x term is -0.8333333333x.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333x + 0.1736111111 + x2 = -1 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -1 + 0.1736111111

Combine like terms: -1 + 0.1736111111 = -0.8263888889
0.1736111111 + -0.8333333333x + x2 = -0.8263888889

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -0.8263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.