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Simplifying 12z2 = 10z Solving 12z2 = 10z Solving for variable 'z'. Reorder the terms: -10z + 12z2 = 10z + -10z Combine like terms: 10z + -10z = 0 -10z + 12z2 = 0 Factor out the Greatest Common Factor (GCF), '2z'. 2z(-5 + 6z) = 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 '(-5 + 6z)' equal to zero and attempt to solve: Simplifying -5 + 6z = 0 Solving -5 + 6z = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6z = 0 + 5 6z = 0 + 5 Combine like terms: 0 + 5 = 5 6z = 5 Divide each side by '6'. z = 0.8333333333 Simplifying z = 0.8333333333Solution
z = {0, 0.8333333333}
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