3x-8(x-1)=-3x(x+1)

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


Simplifying
3x + -8(x + -1) = -3x(x + 1)

Reorder the terms:
3x + -8(-1 + x) = -3x(x + 1)
3x + (-1 * -8 + x * -8) = -3x(x + 1)
3x + (8 + -8x) = -3x(x + 1)

Reorder the terms:
8 + 3x + -8x = -3x(x + 1)

Combine like terms: 3x + -8x = -5x
8 + -5x = -3x(x + 1)

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

Solving
8 + -5x = -3x + -3x2

Solving for variable 'x'.

Combine like terms: -5x + 3x = -2x
8 + -2x + 3x2 = -3x + -3x2 + 3x + 3x2

Reorder the terms:
8 + -2x + 3x2 = -3x + 3x + -3x2 + 3x2

Combine like terms: -3x + 3x = 0
8 + -2x + 3x2 = 0 + -3x2 + 3x2
8 + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
8 + -2x + 3x2 = 0

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

Divide each side by '3'.
2.666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -0.6666666667x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -2.666666667
-0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-0.6666666667x + x2 = -2.666666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -2.666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -2.666666667 + 0.1111111112

Combine like terms: -2.666666667 + 0.1111111112 = -2.5555555558
0.1111111112 + -0.6666666667x + x2 = -2.5555555558

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -2.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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