14x^3+7xy^2-7xy=

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Solution for 14x^3+7xy^2-7xy= equation:


Simplifying
14x3 + 7xy2 + -7xy = 0

Reorder the terms:
-7xy + 7xy2 + 14x3 = 0

Solving
-7xy + 7xy2 + 14x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-1y + y2 + 2x2) = 0

Ignore the factor 7.

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 '(-1y + y2 + 2x2)' equal to zero and attempt to solve: Simplifying -1y + y2 + 2x2 = 0 Reorder the terms: 2x2 + -1y + y2 = 0 Solving 2x2 + -1y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x2 + -1y + y + y2 = 0 + y Combine like terms: -1y + y = 0 2x2 + 0 + y2 = 0 + y 2x2 + y2 = 0 + y Remove the zero: 2x2 + y2 = y Add '-1y2' to each side of the equation. 2x2 + y2 + -1y2 = y + -1y2 Combine like terms: y2 + -1y2 = 0 2x2 + 0 = y + -1y2 2x2 = y + -1y2 Divide each side by '2'. x2 = 0.5y + -0.5y2 Simplifying x2 = 0.5y + -0.5y2 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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