-x^2-10x+25=81

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Solution for -x^2-10x+25=81 equation: 


Simplifying
-1x2 + -10x + 25 = 81

Reorder the terms:
25 + -10x + -1x2 = 81

Solving
25 + -10x + -1x2 = 81

Solving for variable 'x'.

Reorder the terms:
25 + -81 + -10x + -1x2 = 81 + -81

Combine like terms: 25 + -81 = -56
-56 + -10x + -1x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-56 + -10x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(56 + 10x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(56 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
56 + 10x + x2 = 0

Solving
56 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + 10x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + 10x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 10x + x2 = 0 + -56
10x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
10x + x2 = -56

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -56 + 25

Reorder the terms:
25 + 10x + x2 = -56 + 25

Combine like terms: -56 + 25 = -31
25 + 10x + x2 = -31

Factor a perfect square on the left side:
(x + 5)(x + 5) = -31

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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