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Simplifying 36z + -24z2 = 3z2 Solving 36z + -24z2 = 3z2 Solving for variable 'z'. Combine like terms: -24z2 + -3z2 = -27z2 36z + -27z2 = 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 36z + -27z2 = 0 Factor out the Greatest Common Factor (GCF), '9z'. 9z(4 + -3z) = 0 Ignore the factor 9.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 '(4 + -3z)' equal to zero and attempt to solve: Simplifying 4 + -3z = 0 Solving 4 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 0 + -4 -3z = 0 + -4 Combine like terms: 0 + -4 = -4 -3z = -4 Divide each side by '-3'. z = 1.333333333 Simplifying z = 1.333333333Solution
z = {0, 1.333333333}
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