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Simplifying 8z = 4(2zh) Remove parenthesis around (2hz) 8z = 4 * 2hz Multiply 4 * 2 8z = 8hz Solving 8z = 8hz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8hz' to each side of the equation. -8hz + 8z = 8hz + -8hz Combine like terms: 8hz + -8hz = 0 -8hz + 8z = 0 Factor out the Greatest Common Factor (GCF), '8z'. 8z(-1h + 1) = 0 Ignore the factor 8.Subproblem 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 '(-1h + 1)' equal to zero and attempt to solve: Simplifying -1h + 1 = 0 Reorder the terms: 1 + -1h = 0 Solving 1 + -1h = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Add 'h' to each side of the equation. -1h + h = -1 + h Combine like terms: -1h + h = 0 0 = -1 + h Simplifying 0 = -1 + h 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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