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Simplifying z = 11z + -5z2 Solving z = 11z + -5z2 Solving for variable 'z'. Combine like terms: z + -11z = -10z -10z + 5z2 = 11z + -5z2 + -11z + 5z2 Reorder the terms: -10z + 5z2 = 11z + -11z + -5z2 + 5z2 Combine like terms: 11z + -11z = 0 -10z + 5z2 = 0 + -5z2 + 5z2 -10z + 5z2 = -5z2 + 5z2 Combine like terms: -5z2 + 5z2 = 0 -10z + 5z2 = 0 Factor out the Greatest Common Factor (GCF), '5z'. 5z(-2 + z) = 0 Ignore the factor 5.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 '(-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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