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Simplifying z2 + -10z2 + 24z = 0 Reorder the terms: 24z + z2 + -10z2 = 0 Combine like terms: z2 + -10z2 = -9z2 24z + -9z2 = 0 Solving 24z + -9z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(8 + -3z) = 0 Ignore the factor 3.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 '(8 + -3z)' equal to zero and attempt to solve: Simplifying 8 + -3z = 0 Solving 8 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3z = 0 + -8 -3z = 0 + -8 Combine like terms: 0 + -8 = -8 -3z = -8 Divide each side by '-3'. z = 2.666666667 Simplifying z = 2.666666667Solution
z = {0, 2.666666667}
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