49xy^2-16x=0

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Solution for 49xy^2-16x=0 equation:


Simplifying
49xy2 + -16x = 0

Reorder the terms:
-16x + 49xy2 = 0

Solving
-16x + 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(-16 + 49y2) = 0

Factor a difference between two squares.
x((4 + 7y)(-4 + 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 '(4 + 7y)' equal to zero and attempt to solve: Simplifying 4 + 7y = 0 Solving 4 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 0 + -4 7y = 0 + -4 Combine like terms: 0 + -4 = -4 7y = -4 Add '-7y' to each side of the equation. 7y + -7y = -4 + -7y Combine like terms: 7y + -7y = 0 0 = -4 + -7y Simplifying 0 = -4 + -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 '(-4 + 7y)' equal to zero and attempt to solve: Simplifying -4 + 7y = 0 Solving -4 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 0 + 4 7y = 0 + 4 Combine like terms: 0 + 4 = 4 7y = 4 Add '-7y' to each side of the equation. 7y + -7y = 4 + -7y Combine like terms: 7y + -7y = 0 0 = 4 + -7y Simplifying 0 = 4 + -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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