-3x(x-1)+8(x-3)=6x+7-5x

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Solution for -3x(x-1)+8(x-3)=6x+7-5x equation: 


Simplifying
-3x(x + -1) + 8(x + -3) = 6x + 7 + -5x

Reorder the terms:
-3x(-1 + x) + 8(x + -3) = 6x + 7 + -5x
(-1 * -3x + x * -3x) + 8(x + -3) = 6x + 7 + -5x
(3x + -3x2) + 8(x + -3) = 6x + 7 + -5x

Reorder the terms:
3x + -3x2 + 8(-3 + x) = 6x + 7 + -5x
3x + -3x2 + (-3 * 8 + x * 8) = 6x + 7 + -5x
3x + -3x2 + (-24 + 8x) = 6x + 7 + -5x

Reorder the terms:
-24 + 3x + 8x + -3x2 = 6x + 7 + -5x

Combine like terms: 3x + 8x = 11x
-24 + 11x + -3x2 = 6x + 7 + -5x

Reorder the terms:
-24 + 11x + -3x2 = 7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
-24 + 11x + -3x2 = 7 + 1x

Solving
-24 + 11x + -3x2 = 7 + 1x

Solving for variable 'x'.

Reorder the terms:
-24 + -7 + 11x + -1x + -3x2 = 7 + 1x + -7 + -1x

Combine like terms: -24 + -7 = -31
-31 + 11x + -1x + -3x2 = 7 + 1x + -7 + -1x

Combine like terms: 11x + -1x = 10x
-31 + 10x + -3x2 = 7 + 1x + -7 + -1x

Reorder the terms:
-31 + 10x + -3x2 = 7 + -7 + 1x + -1x

Combine like terms: 7 + -7 = 0
-31 + 10x + -3x2 = 0 + 1x + -1x
-31 + 10x + -3x2 = 1x + -1x

Combine like terms: 1x + -1x = 0
-31 + 10x + -3x2 = 0

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

Divide each side by '-3'.
10.33333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-10.33333333' to each side of the equation.
10.33333333 + -3.333333333x + -10.33333333 + x2 = 0 + -10.33333333

Reorder the terms:
10.33333333 + -10.33333333 + -3.333333333x + x2 = 0 + -10.33333333

Combine like terms: 10.33333333 + -10.33333333 = 0.00000000
0.00000000 + -3.333333333x + x2 = 0 + -10.33333333
-3.333333333x + x2 = 0 + -10.33333333

Combine like terms: 0 + -10.33333333 = -10.33333333
-3.333333333x + x2 = -10.33333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -10.33333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -10.33333333 + 2.777777779

Combine like terms: -10.33333333 + 2.777777779 = -7.555555551
2.777777779 + -3.333333333x + x2 = -7.555555551

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -7.555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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