-3x^2=-x+13

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


Simplifying
-3x2 = -1x + 13

Reorder the terms:
-3x2 = 13 + -1x

Solving
-3x2 = 13 + -1x

Solving for variable 'x'.

Reorder the terms:
-13 + x + -3x2 = 13 + -1x + -13 + x

Reorder the terms:
-13 + x + -3x2 = 13 + -13 + -1x + x

Combine like terms: 13 + -13 = 0
-13 + x + -3x2 = 0 + -1x + x
-13 + x + -3x2 = -1x + x

Combine like terms: -1x + x = 0
-13 + x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
4.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -0.3333333333x + -4.333333333 + x2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -0.3333333333x + x2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -4.333333333
-0.3333333333x + x2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-0.3333333333x + x2 = -4.333333333

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.
-0.3333333333x + 0.25 + x2 = -4.333333333 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -4.333333333 + 0.25

Combine like terms: -4.333333333 + 0.25 = -4.083333333
0.25 + -0.3333333333x + x2 = -4.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -4.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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