2xy^2-98x^3=0

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Solution for 2xy^2-98x^3=0 equation:


Simplifying
2xy2 + -98x3 = 0

Solving
2xy2 + -98x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(y2 + -49x2) = 0

Factor a difference between two squares.
2x((y + 7x)(y + -7x)) = 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 '(y + 7x)' equal to zero and attempt to solve: Simplifying y + 7x = 0 Reorder the terms: 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429y

Subproblem 3

Set the factor '(y + -7x)' equal to zero and attempt to solve: Simplifying y + -7x = 0 Reorder the terms: -7x + y = 0 Solving -7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -7x + 0 = 0 + -1y -7x = 0 + -1y Remove the zero: -7x = -1y Divide each side by '-7'. x = 0.1428571429y Simplifying x = 0.1428571429y

Solution

x = {0, -0.1428571429y, 0.1428571429y}

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