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Simplifying xy3 + -4xyz2 = 0 Reorder the terms: -4xyz2 + xy3 = 0 Solving -4xyz2 + xy3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-4z2 + y2) = 0 Factor a difference between two squares. xy((2z + y)(-2z + y)) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(2z + y)' equal to zero and attempt to solve: Simplifying 2z + y = 0 Reorder the terms: y + 2z = 0 Solving y + 2z = 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 + 2z = 0 + -1y Combine like terms: y + -1y = 0 0 + 2z = 0 + -1y 2z = 0 + -1y Remove the zero: 2z = -1y Add '-2z' to each side of the equation. 2z + -2z = -1y + -2z Combine like terms: 2z + -2z = 0 0 = -1y + -2z Simplifying 0 = -1y + -2z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2z + y)' equal to zero and attempt to solve: Simplifying -2z + y = 0 Reorder the terms: y + -2z = 0 Solving y + -2z = 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 + -2z = 0 + -1y Combine like terms: y + -1y = 0 0 + -2z = 0 + -1y -2z = 0 + -1y Remove the zero: -2z = -1y Add '2z' to each side of the equation. -2z + 2z = -1y + 2z Combine like terms: -2z + 2z = 0 0 = -1y + 2z Simplifying 0 = -1y + 2z 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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