100=x^2-(80+11x)

Solution for 100=x^2-(80+11x) equation:

Simplifying
100 = x2 + -1(80 + 11x)
100 = x2 + (80 * -1 + 11x * -1)
100 = x2 + (-80 + -11x)

Reorder the terms:
100 = -80 + -11x + x2

Solving
100 = -80 + -11x + x2

Solving for variable 'x'.

Combine like terms: 100 + 80 = 180
180 + 11x + -1x2 = -80 + -11x + x2 + 80 + 11x + -1x2

Reorder the terms:
180 + 11x + -1x2 = -80 + 80 + -11x + 11x + x2 + -1x2

Combine like terms: -80 + 80 = 0
180 + 11x + -1x2 = 0 + -11x + 11x + x2 + -1x2
180 + 11x + -1x2 = -11x + 11x + x2 + -1x2

Combine like terms: -11x + 11x = 0
180 + 11x + -1x2 = 0 + x2 + -1x2
180 + 11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
180 + 11x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(9 + x) = 0

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {20, -9}