-8x(x-2)-29=-13

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Solution for -8x(x-2)-29=-13 equation: 


Simplifying
-8x(x + -2) + -29 = -13

Reorder the terms:
-8x(-2 + x) + -29 = -13
(-2 * -8x + x * -8x) + -29 = -13
(16x + -8x2) + -29 = -13

Reorder the terms:
-29 + 16x + -8x2 = -13

Solving
-29 + 16x + -8x2 = -13

Solving for variable 'x'.

Reorder the terms:
-29 + 13 + 16x + -8x2 = -13 + 13

Combine like terms: -29 + 13 = -16
-16 + 16x + -8x2 = -13 + 13

Combine like terms: -13 + 13 = 0
-16 + 16x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + 2x + -1x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-2 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
-2 + 2x + -1x2 = 0

Solving
-2 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -2x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2x + x2 = 0 + -2

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

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

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2 + 1

Reorder the terms:
1 + -2x + x2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2x + x2 = -1

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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