32xy^2+16xy+2x=0

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Solution for 32xy^2+16xy+2x=0 equation: 


Simplifying
32xy2 + 16xy + 2x = 0

Reorder the terms:
2x + 16xy + 32xy2 = 0

Solving
2x + 16xy + 32xy2 = 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(1 + 8y + 16y2) = 0

Factor a trinomial.
2x((1 + 4y)(1 + 4y)) = 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 + 4y)' equal to zero and attempt to solve:

Simplifying
1 + 4y = 0

Solving
1 + 4y = 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 + 4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4y = 0 + -1
4y = 0 + -1

Combine like terms: 0 + -1 = -1
4y = -1

Add '-4y' to each side of the equation.
4y + -4y = -1 + -4y

Combine like terms: 4y + -4y = 0
0 = -1 + -4y

Simplifying
0 = -1 + -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 '(1 + 4y)' equal to zero and attempt to solve:

Simplifying
1 + 4y = 0

Solving
1 + 4y = 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 + 4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4y = 0 + -1
4y = 0 + -1

Combine like terms: 0 + -1 = -1
4y = -1

Add '-4y' to each side of the equation.
4y + -4y = -1 + -4y

Combine like terms: 4y + -4y = 0
0 = -1 + -4y

Simplifying
0 = -1 + -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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