25xy^2-49x=0

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Solution for 25xy^2-49x=0 equation: 


Simplifying
25xy2 + -49x = 0

Reorder the terms:
-49x + 25xy2 = 0

Solving
-49x + 25xy2 = 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(-49 + 25y2) = 0

Factor a difference between two squares.
x((7 + 5y)(-7 + 5y)) = 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 '(7 + 5y)' equal to zero and attempt to solve:

Simplifying
7 + 5y = 0

Solving
7 + 5y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5y = 0 + -7
5y = 0 + -7

Combine like terms: 0 + -7 = -7
5y = -7

Add '-5y' to each side of the equation.
5y + -5y = -7 + -5y

Combine like terms: 5y + -5y = 0
0 = -7 + -5y

Simplifying
0 = -7 + -5y

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 '(-7 + 5y)' equal to zero and attempt to solve:

Simplifying
-7 + 5y = 0

Solving
-7 + 5y = 0

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

Add '7' to each side of the equation.
-7 + 7 + 5y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5y = 0 + 7
5y = 0 + 7

Combine like terms: 0 + 7 = 7
5y = 7

Add '-5y' to each side of the equation.
5y + -5y = 7 + -5y

Combine like terms: 5y + -5y = 0
0 = 7 + -5y

Simplifying
0 = 7 + -5y

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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