9xy^2-16x=

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Solution for 9xy^2-16x= equation: 


Simplifying
9xy2 + -16x = 0

Reorder the terms:
-16x + 9xy2 = 0

Solving
-16x + 9xy2 = 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(-16 + 9y2) = 0

Factor a difference between two squares.
x((4 + 3y)(-4 + 3y)) = 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 '(4 + 3y)' equal to zero and attempt to solve:

Simplifying
4 + 3y = 0

Solving
4 + 3y = 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 + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 0 + -4
3y = 0 + -4

Combine like terms: 0 + -4 = -4
3y = -4

Add '-3y' to each side of the equation.
3y + -3y = -4 + -3y

Combine like terms: 3y + -3y = 0
0 = -4 + -3y

Simplifying
0 = -4 + -3y

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 + 3y)' equal to zero and attempt to solve:

Simplifying
-4 + 3y = 0

Solving
-4 + 3y = 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 + 3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 0 + 4
3y = 0 + 4

Combine like terms: 0 + 4 = 4
3y = 4

Add '-3y' to each side of the equation.
3y + -3y = 4 + -3y

Combine like terms: 3y + -3y = 0
0 = 4 + -3y

Simplifying
0 = 4 + -3y

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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