49xy^2-4x=0

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Solution for 49xy^2-4x=0 equation: 


Simplifying
49xy2 + -4x = 0

Reorder the terms:
-4x + 49xy2 = 0

Solving
-4x + 49xy2 = 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(-4 + 49y2) = 0

Factor a difference between two squares.
x((2 + 7y)(-2 + 7y)) = 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 '(2 + 7y)' equal to zero and attempt to solve:

Simplifying
2 + 7y = 0

Solving
2 + 7y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7y = 0 + -2
7y = 0 + -2

Combine like terms: 0 + -2 = -2
7y = -2

Add '-7y' to each side of the equation.
7y + -7y = -2 + -7y

Combine like terms: 7y + -7y = 0
0 = -2 + -7y

Simplifying
0 = -2 + -7y

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 '(-2 + 7y)' equal to zero and attempt to solve:

Simplifying
-2 + 7y = 0

Solving
-2 + 7y = 0

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

Add '2' to each side of the equation.
-2 + 2 + 7y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7y = 0 + 2
7y = 0 + 2

Combine like terms: 0 + 2 = 2
7y = 2

Add '-7y' to each side of the equation.
7y + -7y = 2 + -7y

Combine like terms: 7y + -7y = 0
0 = 2 + -7y

Simplifying
0 = 2 + -7y

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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