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Simplifying y3z2 + -1y2z2 + -1y2z3 = 0 Reorder the terms: -1y2z2 + -1y2z3 + y3z2 = 0 Solving -1y2z2 + -1y2z3 + y3z2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2z2'. y2z2(-1 + -1z + y) = 0Subproblem 1
Set the factor 'y2z2' equal to zero and attempt to solve: Simplifying y2z2 = 0 Solving y2z2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2z2 = 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 '(-1 + -1z + y)' equal to zero and attempt to solve: Simplifying -1 + -1z + y = 0 Reorder the terms: -1 + y + -1z = 0 Solving -1 + y + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + y + 1 + -1z = 0 + 1 Reorder the terms: -1 + 1 + y + -1z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y + -1z = 0 + 1 y + -1z = 0 + 1 Combine like terms: 0 + 1 = 1 y + -1z = 1 Add 'z' to each side of the equation. y + -1z + z = 1 + z Combine like terms: -1z + z = 0 y + 0 = 1 + z y = 1 + z Simplifying y = 1 + zSolution
y = {1 + z}
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