4xy^2-22xy+10x=0

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Solution for 4xy^2-22xy+10x=0 equation: 


Simplifying
4xy2 + -22xy + 10x = 0

Reorder the terms:
10x + -22xy + 4xy2 = 0

Solving
10x + -22xy + 4xy2 = 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), '2x'.
2x(5 + -11y + 2y2) = 0

Factor a trinomial.
2x((1 + -2y)(5 + -1y)) = 0

Ignore the factor 2.

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 '(1 + -2y)' equal to zero and attempt to solve:

Simplifying
1 + -2y = 0

Solving
1 + -2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Add '2y' to each side of the equation.
-2y + 2y = -1 + 2y

Combine like terms: -2y + 2y = 0
0 = -1 + 2y

Simplifying
0 = -1 + 2y

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 '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Add 'y' to each side of the equation.
-1y + y = -5 + y

Combine like terms: -1y + y = 0
0 = -5 + y

Simplifying
0 = -5 + y

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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