xr^2-2xr=99x

Solution for xr^2-2xr=99x equation:

Simplifying
xr2 + -2xr = 99x

Reorder the terms:
-2rx + r2x = 99x

Solving
-2rx + r2x = 99x

Solving for variable 'r'.

Combine like terms: 99x + -99x = 0
-2rx + r2x + -99x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2r + r2 + -99) = 0

Factor a trinomial.
x((r + -11)(r + 9)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(r + -11)' equal to zero and attempt to solve:

Simplifying
r + -11 = 0

Reorder the terms:
-11 + r = 0

Solving
-11 + r = 0

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

Add '11' to each side of the equation.
-11 + 11 + r = 0 + 11

Combine like terms: -11 + 11 = 0
0 + r = 0 + 11
r = 0 + 11

Combine like terms: 0 + 11 = 11
r = 11

Simplifying
r = 11
Subproblem 3
Set the factor '(r + 9)' equal to zero and attempt to solve:

Simplifying
r + 9 = 0

Reorder the terms:
9 + r = 0

Solving
9 + r = 0

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

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

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

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

Simplifying
r = -9
Solution
r = {11, -9}