-8x(x+1)-8=6-9x

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Solution for -8x(x+1)-8=6-9x equation:


Simplifying
-8x(x + 1) + -8 = 6 + -9x

Reorder the terms:
-8x(1 + x) + -8 = 6 + -9x
(1 * -8x + x * -8x) + -8 = 6 + -9x
(-8x + -8x2) + -8 = 6 + -9x

Reorder the terms:
-8 + -8x + -8x2 = 6 + -9x

Solving
-8 + -8x + -8x2 = 6 + -9x

Solving for variable 'x'.

Reorder the terms:
-8 + -6 + -8x + 9x + -8x2 = 6 + -9x + -6 + 9x

Combine like terms: -8 + -6 = -14
-14 + -8x + 9x + -8x2 = 6 + -9x + -6 + 9x

Combine like terms: -8x + 9x = 1x
-14 + 1x + -8x2 = 6 + -9x + -6 + 9x

Reorder the terms:
-14 + 1x + -8x2 = 6 + -6 + -9x + 9x

Combine like terms: 6 + -6 = 0
-14 + 1x + -8x2 = 0 + -9x + 9x
-14 + 1x + -8x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-14 + 1x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
1.75 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -0.125x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -0.125x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -0.125x + x2 = 0 + -1.75
-0.125x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-0.125x + x2 = -1.75

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -1.75 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -1.75 + 0.00390625

Combine like terms: -1.75 + 0.00390625 = -1.74609375
0.00390625 + -0.125x + x2 = -1.74609375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -1.74609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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