20xy^2+9xy-20x=0

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Solution for 20xy^2+9xy-20x=0 equation:


Simplifying
20xy2 + 9xy + -20x = 0

Reorder the terms:
-20x + 9xy + 20xy2 = 0

Solving
-20x + 9xy + 20xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 9y + 20y2) = 0

Factor a trinomial.
x((-5 + -4y)(4 + -5y)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-5 + -4y)' equal to zero and attempt to solve:

Simplifying
-5 + -4y = 0

Solving
-5 + -4y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4y = 0 + 5
-4y = 0 + 5

Combine like terms: 0 + 5 = 5
-4y = 5

Add '4y' to each side of the equation.
-4y + 4y = 5 + 4y

Combine like terms: -4y + 4y = 0
0 = 5 + 4y

Simplifying
0 = 5 + 4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Add '5y' to each side of the equation.
-5y + 5y = -4 + 5y

Combine like terms: -5y + 5y = 0
0 = -4 + 5y

Simplifying
0 = -4 + 5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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