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Simplifying -2z3 + -10z2 = 0 Reorder the terms: -10z2 + -2z3 = 0 Solving -10z2 + -2z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-2z2'. -2z2(5 + z) = 0 Ignore the factor -2.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 '(5 + z)' equal to zero and attempt to solve: Simplifying 5 + z = 0 Solving 5 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z = 0 + -5 z = 0 + -5 Combine like terms: 0 + -5 = -5 z = -5 Simplifying z = -5Solution
z = {0, -5}
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