-6x^2=-3x+13

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Solution for -6x^2=-3x+13 equation: 


Simplifying
-6x2 = -3x + 13

Reorder the terms:
-6x2 = 13 + -3x

Solving
-6x2 = 13 + -3x

Solving for variable 'x'.

Reorder the terms:
-13 + 3x + -6x2 = 13 + -3x + -13 + 3x

Reorder the terms:
-13 + 3x + -6x2 = 13 + -13 + -3x + 3x

Combine like terms: 13 + -13 = 0
-13 + 3x + -6x2 = 0 + -3x + 3x
-13 + 3x + -6x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-13 + 3x + -6x2 = 0

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

Divide each side by '-6'.
2.166666667 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + -0.5x + -2.166666667 + x2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + -0.5x + x2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + -0.5x + x2 = 0 + -2.166666667
-0.5x + x2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
-0.5x + x2 = -2.166666667

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -2.166666667 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -2.166666667 + 0.0625

Combine like terms: -2.166666667 + 0.0625 = -2.104166667
0.0625 + -0.5x + x2 = -2.104166667

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -2.104166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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