-6x(x-1)-7=-7x+2

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Solution for -6x(x-1)-7=-7x+2 equation:


Simplifying
-6x(x + -1) + -7 = -7x + 2

Reorder the terms:
-6x(-1 + x) + -7 = -7x + 2
(-1 * -6x + x * -6x) + -7 = -7x + 2
(6x + -6x2) + -7 = -7x + 2

Reorder the terms:
-7 + 6x + -6x2 = -7x + 2

Reorder the terms:
-7 + 6x + -6x2 = 2 + -7x

Solving
-7 + 6x + -6x2 = 2 + -7x

Solving for variable 'x'.

Reorder the terms:
-7 + -2 + 6x + 7x + -6x2 = 2 + -7x + -2 + 7x

Combine like terms: -7 + -2 = -9
-9 + 6x + 7x + -6x2 = 2 + -7x + -2 + 7x

Combine like terms: 6x + 7x = 13x
-9 + 13x + -6x2 = 2 + -7x + -2 + 7x

Reorder the terms:
-9 + 13x + -6x2 = 2 + -2 + -7x + 7x

Combine like terms: 2 + -2 = 0
-9 + 13x + -6x2 = 0 + -7x + 7x
-9 + 13x + -6x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + 13x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.5 + -2.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2.166666667x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2.166666667x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.166666667x + x2 = 0 + -1.5
-2.166666667x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2.166666667x + x2 = -1.5

The x term is -2.166666667x.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667x + 1.173611113 + x2 = -1.5 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667x + x2 = -1.5 + 1.173611113

Combine like terms: -1.5 + 1.173611113 = -0.326388887
1.173611113 + -2.166666667x + x2 = -0.326388887

Factor a perfect square on the left side:
(x + -1.083333334)(x + -1.083333334) = -0.326388887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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