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Simplifying 0 = y2z + -1yz2 Reorder the terms: 0 = -1yz2 + y2z Solving 0 = -1yz2 + y2z Solving for variable 'y'. Remove the zero: yz2 + -1y2z = -1yz2 + y2z + yz2 + -1y2z Reorder the terms: yz2 + -1y2z = -1yz2 + yz2 + y2z + -1y2z Combine like terms: -1yz2 + yz2 = 0 yz2 + -1y2z = 0 + y2z + -1y2z yz2 + -1y2z = y2z + -1y2z Combine like terms: y2z + -1y2z = 0 yz2 + -1y2z = 0 Factor out the Greatest Common Factor (GCF), 'yz'. yz(z + -1y) = 0Subproblem 1
Set the factor 'yz' equal to zero and attempt to solve: Simplifying yz = 0 Solving yz = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yz = 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 '(z + -1y)' equal to zero and attempt to solve: Simplifying z + -1y = 0 Reorder the terms: -1y + z = 0 Solving -1y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. -1y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 -1y + 0 = 0 + -1z -1y = 0 + -1z Remove the zero: -1y = -1z Divide each side by '-1'. y = z Simplifying y = zSolution
y = {z}
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