(-x)=-3x^2+6x-5

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Solution for (-x)=-3x^2+6x-5 equation: 


Simplifying
(-1x) = -3x2 + 6x + -5

Reorder the terms:
(-1x) = -5 + 6x + -3x2

Solving
(-1x) = -5 + 6x + -3x2

Solving for variable 'x'.

Reorder the terms:
5 + (-1x) + -6x + 3x2 = -5 + 6x + -3x2 + 5 + -6x + 3x2

Combine like terms: (-1x) + -6x = -7x
5 + -7x + 3x2 = -5 + 6x + -3x2 + 5 + -6x + 3x2

Reorder the terms:
5 + -7x + 3x2 = -5 + 5 + 6x + -6x + -3x2 + 3x2

Combine like terms: -5 + 5 = 0
5 + -7x + 3x2 = 0 + 6x + -6x + -3x2 + 3x2
5 + -7x + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
5 + -7x + 3x2 = 0 + -3x2 + 3x2
5 + -7x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
5 + -7x + 3x2 = 0

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

Divide each side by '3'.
1.666666667 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -2.333333333x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -2.333333333x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -1.666666667
-2.333333333x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-2.333333333x + x2 = -1.666666667

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -1.666666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -1.666666667 + 1.361111112

Combine like terms: -1.666666667 + 1.361111112 = -0.305555555
1.361111112 + -2.333333333x + x2 = -0.305555555

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -0.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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