3x^2-6x+5=-2(x+1)-10

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Solution for 3x^2-6x+5=-2(x+1)-10 equation:


Simplifying
3x2 + -6x + 5 = -2(x + 1) + -10

Reorder the terms:
5 + -6x + 3x2 = -2(x + 1) + -10

Reorder the terms:
5 + -6x + 3x2 = -2(1 + x) + -10
5 + -6x + 3x2 = (1 * -2 + x * -2) + -10
5 + -6x + 3x2 = (-2 + -2x) + -10

Reorder the terms:
5 + -6x + 3x2 = -2 + -10 + -2x

Combine like terms: -2 + -10 = -12
5 + -6x + 3x2 = -12 + -2x

Solving
5 + -6x + 3x2 = -12 + -2x

Solving for variable 'x'.

Reorder the terms:
5 + 12 + -6x + 2x + 3x2 = -12 + -2x + 12 + 2x

Combine like terms: 5 + 12 = 17
17 + -6x + 2x + 3x2 = -12 + -2x + 12 + 2x

Combine like terms: -6x + 2x = -4x
17 + -4x + 3x2 = -12 + -2x + 12 + 2x

Reorder the terms:
17 + -4x + 3x2 = -12 + 12 + -2x + 2x

Combine like terms: -12 + 12 = 0
17 + -4x + 3x2 = 0 + -2x + 2x
17 + -4x + 3x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
17 + -4x + 3x2 = 0

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

Divide each side by '3'.
5.666666667 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-5.666666667' to each side of the equation.
5.666666667 + -1.333333333x + -5.666666667 + x2 = 0 + -5.666666667

Reorder the terms:
5.666666667 + -5.666666667 + -1.333333333x + x2 = 0 + -5.666666667

Combine like terms: 5.666666667 + -5.666666667 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -5.666666667
-1.333333333x + x2 = 0 + -5.666666667

Combine like terms: 0 + -5.666666667 = -5.666666667
-1.333333333x + x2 = -5.666666667

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -5.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -5.666666667 + 0.4444444442

Combine like terms: -5.666666667 + 0.4444444442 = -5.2222222228
0.4444444442 + -1.333333333x + x2 = -5.2222222228

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -5.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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