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Simplifying 2x4y4 + x3y3 + -15x2y2 = 0 Reorder the terms: -15x2y2 + x3y3 + 2x4y4 = 0 Solving -15x2y2 + x3y3 + 2x4y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2y2'. x2y2(-15 + xy + 2x2y2) = 0 Factor a trinomial. x2y2((-3 + -1xy)(5 + -2xy)) = 0Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(-3 + -1xy)' equal to zero and attempt to solve: Simplifying -3 + -1xy = 0 Solving -3 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1xy = 0 + 3 -1xy = 0 + 3 Combine like terms: 0 + 3 = 3 -1xy = 3 Divide each side by '-1y'. x = -3y-1 Simplifying x = -3y-1Subproblem 3
Set the factor '(5 + -2xy)' equal to zero and attempt to solve: Simplifying 5 + -2xy = 0 Solving 5 + -2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2xy = 0 + -5 -2xy = 0 + -5 Combine like terms: 0 + -5 = -5 -2xy = -5 Divide each side by '-2y'. x = 2.5y-1 Simplifying x = 2.5y-1Solution
x = {-3y-1, 2.5y-1}
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