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Simplifying 16x3y3 + 32x2y4 + 15xy5 = 0 Reorder the terms: 15xy5 + 32x2y4 + 16x3y3 = 0 Solving 15xy5 + 32x2y4 + 16x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy3'. xy3(15y2 + 32xy + 16x2) = 0 Factor a trinomial. xy3((5y + 4x)(3y + 4x)) = 0Subproblem 1
Set the factor 'xy3' equal to zero and attempt to solve: Simplifying xy3 = 0 Solving xy3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy3 = 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 '(5y + 4x)' equal to zero and attempt to solve: Simplifying 5y + 4x = 0 Reorder the terms: 4x + 5y = 0 Solving 4x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 4x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 4x + 0 = 0 + -5y 4x = 0 + -5y Remove the zero: 4x = -5y Divide each side by '4'. x = -1.25y Simplifying x = -1.25ySubproblem 3
Set the factor '(3y + 4x)' equal to zero and attempt to solve: Simplifying 3y + 4x = 0 Reorder the terms: 4x + 3y = 0 Solving 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 0 + -3y 4x = 0 + -3y Remove the zero: 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75ySolution
x = {-1.25y, -0.75y}
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