-3x^2=-3x+14

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Solution for -3x^2=-3x+14 equation: 


Simplifying
-3x2 = -3x + 14

Reorder the terms:
-3x2 = 14 + -3x

Solving
-3x2 = 14 + -3x

Solving for variable 'x'.

Reorder the terms:
-14 + 3x + -3x2 = 14 + -3x + -14 + 3x

Reorder the terms:
-14 + 3x + -3x2 = 14 + -14 + -3x + 3x

Combine like terms: 14 + -14 = 0
-14 + 3x + -3x2 = 0 + -3x + 3x
-14 + 3x + -3x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + 3x + -3x2 = 0

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

Divide each side by '-3'.
4.666666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -1x + -4.666666667 + x2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -1x + x2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -1x + x2 = 0 + -4.666666667
-1x + x2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-1x + x2 = -4.666666667

The x term is -1x.  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.
-1x + 0.25 + x2 = -4.666666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4.666666667 + 0.25

Combine like terms: -4.666666667 + 0.25 = -4.416666667
0.25 + -1x + x2 = -4.416666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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