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Simplifying z(8 + 9) = 10xforz Combine like terms: 8 + 9 = 17 z(17) = 10xforz Reorder the terms for easier multiplication: 17z = 10xforz Solving 17z = 10forxz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10forxz' to each side of the equation. -10forxz + 17z = 10forxz + -10forxz Combine like terms: 10forxz + -10forxz = 0 -10forxz + 17z = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-10forx + 17) = 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 '(-10forx + 17)' equal to zero and attempt to solve: Simplifying -10forx + 17 = 0 Reorder the terms: 17 + -10forx = 0 Solving 17 + -10forx = 0 Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -10forx = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -10forx = 0 + -17 -10forx = 0 + -17 Combine like terms: 0 + -17 = -17 -10forx = -17 Add '10forx' to each side of the equation. -10forx + 10forx = -17 + 10forx Combine like terms: -10forx + 10forx = 0 0 = -17 + 10forx Simplifying 0 = -17 + 10forx 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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