x^5+10x^4y-11x^3y^2=

Solution for x^5+10x^4y-11x^3y^2= equation:

Simplifying
x5 + 10x4y + -11x3y2 = 0

Reorder the terms:
-11x3y2 + 10x4y + x5 = 0

Solving
-11x3y2 + 10x4y + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-11y2 + 10xy + x2) = 0

Factor a trinomial.
x3((-11y + -1x)(y + -1x)) = 0

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

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 '(-11y + -1x)' equal to zero and attempt to solve:

Simplifying
-11y + -1x = 0

Reorder the terms:
-1x + -11y = 0

Solving
-1x + -11y = 0

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

Add '11y' to each side of the equation.
-1x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
-1x + 0 = 0 + 11y
-1x = 0 + 11y
Remove the zero:
-1x = 11y

Divide each side by '-1'.
x = -11y

Simplifying
x = -11y
Subproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

Combine like terms: y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

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

Simplifying
x = y
Solution
x = {-11y, y}