6x^3y^2+8xy^2=0

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Solution for 6x^3y^2+8xy^2=0 equation:


Simplifying
6x3y2 + 8xy2 = 0

Reorder the terms:
8xy2 + 6x3y2 = 0

Solving
8xy2 + 6x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy2'.
2xy2(4 + 3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + 3x2)' equal to zero and attempt to solve: Simplifying 4 + 3x2 = 0 Solving 4 + 3x2 = 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 + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2 = 0 + -4 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x2 = -4 Divide each side by '3'. x2 = -1.333333333 Simplifying x2 = -1.333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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