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Simplifying 32x5y2 + -16x4y3 + 2x3y4 = 0 Reorder the terms: 2x3y4 + -16x4y3 + 32x5y2 = 0 Solving 2x3y4 + -16x4y3 + 32x5y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x3y2'. 2x3y2(y2 + -8xy + 16x2) = 0 Factor a trinomial. 2x3y2((y + -4x)(y + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve: Simplifying x3y2 = 0 Solving x3y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y2 = 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 '(y + -4x)' equal to zero and attempt to solve: Simplifying y + -4x = 0 Reorder the terms: -4x + y = 0 Solving -4x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -4x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -4x + 0 = 0 + -1y -4x = 0 + -1y Remove the zero: -4x = -1y Divide each side by '-4'. x = 0.25y Simplifying x = 0.25ySubproblem 3
Set the factor '(y + -4x)' equal to zero and attempt to solve: Simplifying y + -4x = 0 Reorder the terms: -4x + y = 0 Solving -4x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -4x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -4x + 0 = 0 + -1y -4x = 0 + -1y Remove the zero: -4x = -1y Divide each side by '-4'. x = 0.25y Simplifying x = 0.25ySolution
x = {0.25y, 0.25y}
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