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Simplifying 36z + -21z2 = 0 Solving 36z + -21z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(12 + -7z) = 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 '(12 + -7z)' equal to zero and attempt to solve: Simplifying 12 + -7z = 0 Solving 12 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7z = 0 + -12 -7z = 0 + -12 Combine like terms: 0 + -12 = -12 -7z = -12 Divide each side by '-7'. z = 1.714285714 Simplifying z = 1.714285714Solution
z = {0, 1.714285714}
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