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Simplifying 24y3 + 12xy + 6xy2 = 0 Reorder the terms: 12xy + 6xy2 + 24y3 = 0 Solving 12xy + 6xy2 + 24y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y3' to each side of the equation. 12xy + 6xy2 + 24y3 + -24y3 = 0 + -24y3 Combine like terms: 24y3 + -24y3 = 0 12xy + 6xy2 + 0 = 0 + -24y3 12xy + 6xy2 = 0 + -24y3 Remove the zero: 12xy + 6xy2 = -24y3 Combine like terms: -24y3 + 24y3 = 0 12xy + 6xy2 + 24y3 = 0 Factor out the Greatest Common Factor (GCF), '6y'. 6y(2x + xy + 4y2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(2x + xy + 4y2)' equal to zero and attempt to solve: Simplifying 2x + xy + 4y2 = 0 Solving 2x + xy + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 2x + xy + 4y2 + -4y2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x + xy + 0 = 0 + -4y2 2x + xy = 0 + -4y2 Remove the zero: 2x + xy = -4y2 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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