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Simplifying -2x2y + 22xy2 + -48y3 = 0 Reorder the terms: 22xy2 + -2x2y + -48y3 = 0 Solving 22xy2 + -2x2y + -48y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(11xy + -1x2 + -24y2) = 0 Factor a trinomial. 2y((-1x + 3y)(x + -8y)) = 0 Ignore the factor 2.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 '(-1x + 3y)' equal to zero and attempt to solve: Simplifying -1x + 3y = 0 Solving -1x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -1x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 0 + -3y -1x = 0 + -3y Remove the zero: -1x = -3y Divide each side by '-1'. x = 3y Simplifying x = 3ySubproblem 3
Set the factor '(x + -8y)' equal to zero and attempt to solve: Simplifying x + -8y = 0 Solving x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 x + 0 = 0 + 8y x = 0 + 8y Remove the zero: x = 8y Simplifying x = 8ySolution
x = {3y, 8y}
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