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Simplifying 7z3 + -14z2 = 0 Reorder the terms: -14z2 + 7z3 = 0 Solving -14z2 + 7z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '7z2'. 7z2(-2 + z) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(-2 + z)' equal to zero and attempt to solve: Simplifying -2 + z = 0 Solving -2 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + z = 0 + 2 z = 0 + 2 Combine like terms: 0 + 2 = 2 z = 2 Simplifying z = 2Solution
z = {0, 2}
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