16xy^2-25x=0

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Solution for 16xy^2-25x=0 equation: 


Simplifying
16xy2 + -25x = 0

Reorder the terms:
-25x + 16xy2 = 0

Solving
-25x + 16xy2 = 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(-25 + 16y2) = 0

Factor a difference between two squares.
x((5 + 4y)(-5 + 4y)) = 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 '(-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.
Solution
x = {0}

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