25xy^2-49x=

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Solution for 25xy^2-49x= 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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