11-x(8+x)=114-12

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Solution for 11-x(8+x)=114-12 equation: 


Simplifying
11 + -1x(8 + x) = 114 + -12
11 + (8 * -1x + x * -1x) = 114 + -12
11 + (-8x + -1x2) = 114 + -12

Combine like terms: 114 + -12 = 102
11 + -8x + -1x2 = 102

Solving
11 + -8x + -1x2 = 102

Solving for variable 'x'.

Reorder the terms:
11 + -102 + -8x + -1x2 = 102 + -102

Combine like terms: 11 + -102 = -91
-91 + -8x + -1x2 = 102 + -102

Combine like terms: 102 + -102 = 0
-91 + -8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(91 + 8x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(91 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
91 + 8x + x2 = 0

Solving
91 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-91' to each side of the equation.
91 + 8x + -91 + x2 = 0 + -91

Reorder the terms:
91 + -91 + 8x + x2 = 0 + -91

Combine like terms: 91 + -91 = 0
0 + 8x + x2 = 0 + -91
8x + x2 = 0 + -91

Combine like terms: 0 + -91 = -91
8x + x2 = -91

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -91 + 16

Reorder the terms:
16 + 8x + x2 = -91 + 16

Combine like terms: -91 + 16 = -75
16 + 8x + x2 = -75

Factor a perfect square on the left side:
(x + 4)(x + 4) = -75

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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