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Simplifying 16z + 29z = pz Combine like terms: 16z + 29z = 45z 45z = pz Solving 45z = pz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1pz' to each side of the equation. -1pz + 45z = pz + -1pz Combine like terms: pz + -1pz = 0 -1pz + 45z = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-1p + 45) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(-1p + 45)' equal to zero and attempt to solve: Simplifying -1p + 45 = 0 Reorder the terms: 45 + -1p = 0 Solving 45 + -1p = 0 Move all terms containing z to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1p = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1p = 0 + -45 -1p = 0 + -45 Combine like terms: 0 + -45 = -45 -1p = -45 Add 'p' to each side of the equation. -1p + p = -45 + p Combine like terms: -1p + p = 0 0 = -45 + p Simplifying 0 = -45 + p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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