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Simplifying x2y + z = 16 Solving x2y + z = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. x2y + z + -1z = 16 + -1z Combine like terms: z + -1z = 0 x2y + 0 = 16 + -1z x2y = 16 + -1z Divide each side by 'y'. x2 = 16y-1 + -1y-1z Simplifying x2 = 16y-1 + -1y-1z Reorder the terms: x2 + -16y-1 + y-1z = 16y-1 + -16y-1 + -1y-1z + y-1z Combine like terms: 16y-1 + -16y-1 = 0 x2 + -16y-1 + y-1z = 0 + -1y-1z + y-1z x2 + -16y-1 + y-1z = -1y-1z + y-1z Combine like terms: -1y-1z + y-1z = 0 x2 + -16y-1 + y-1z = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -16 + z) = 0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + -16 + z)' equal to zero and attempt to solve: Simplifying x2y + -16 + z = 0 Reorder the terms: -16 + x2y + z = 0 Solving -16 + x2y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + x2y + 16 + z = 0 + 16 Reorder the terms: -16 + 16 + x2y + z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x2y + z = 0 + 16 x2y + z = 0 + 16 Combine like terms: 0 + 16 = 16 x2y + z = 16 Add '-1z' to each side of the equation. x2y + z + -1z = 16 + -1z Combine like terms: z + -1z = 0 x2y + 0 = 16 + -1z x2y = 16 + -1z Divide each side by 'y'. x2 = 16y-1 + -1y-1z Simplifying x2 = 16y-1 + -1y-1z 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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