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Simplifying 2z3 + -200z = 0 Reorder the terms: -200z + 2z3 = 0 Solving -200z + 2z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z'. 2z(-100 + z2) = 0 Factor a difference between two squares. 2z((10 + z)(-10 + z)) = 0 Ignore the factor 2.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 '(10 + z)' equal to zero and attempt to solve: Simplifying 10 + z = 0 Solving 10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + z = 0 + -10 z = 0 + -10 Combine like terms: 0 + -10 = -10 z = -10 Simplifying z = -10Subproblem 3
Set the factor '(-10 + z)' equal to zero and attempt to solve: Simplifying -10 + z = 0 Solving -10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + z = 0 + 10 z = 0 + 10 Combine like terms: 0 + 10 = 10 z = 10 Simplifying z = 10Solution
z = {0, -10, 10}
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