-x^2+(-x+2)=100

Solution for -x^2+(-x+2)=100 equation:

Simplifying
-1x2 + (-1x + 2) = 100

Reorder the terms:
-1x2 + (2 + -1x) = 100

Remove parenthesis around (2 + -1x)
-1x2 + 2 + -1x = 100

Reorder the terms:
2 + -1x + -1x2 = 100

Solving
2 + -1x + -1x2 = 100

Solving for variable 'x'.

Reorder the terms:
2 + -100 + -1x + -1x2 = 100 + -100

Combine like terms: 2 + -100 = -98
-98 + -1x + -1x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-98 + -1x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(98 + x + x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(98 + x + x2)' equal to zero and attempt to solve:

Simplifying
98 + x + x2 = 0

Solving
98 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-98' to each side of the equation.
98 + x + -98 + x2 = 0 + -98

Reorder the terms:
98 + -98 + x + x2 = 0 + -98

Combine like terms: 98 + -98 = 0
0 + x + x2 = 0 + -98
x + x2 = 0 + -98

Combine like terms: 0 + -98 = -98
x + x2 = -98

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -98 + 0.25

Reorder the terms:
0.25 + x + x2 = -98 + 0.25

Combine like terms: -98 + 0.25 = -97.75
0.25 + x + x2 = -97.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -97.75

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.