-6x^2=-x+15

Solution for -6x^2=-x+15 equation:

Simplifying
-6x2 = -1x + 15

Reorder the terms:
-6x2 = 15 + -1x

Solving
-6x2 = 15 + -1x

Solving for variable 'x'.

Reorder the terms:
-15 + x + -6x2 = 15 + -1x + -15 + x

Reorder the terms:
-15 + x + -6x2 = 15 + -15 + -1x + x

Combine like terms: 15 + -15 = 0
-15 + x + -6x2 = 0 + -1x + x
-15 + x + -6x2 = -1x + x

Combine like terms: -1x + x = 0
-15 + x + -6x2 = 0

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

Divide each side by '-6'.
2.5 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.1666666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.1666666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.1666666667x + x2 = 0 + -2.5
-0.1666666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.1666666667x + x2 = -2.5

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.
-0.1666666667x + 0.25 + x2 = -2.5 + 0.25

Reorder the terms:
0.25 + -0.1666666667x + x2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -0.1666666667x + x2 = -2.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.