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Simplifying 3z2 = 5z Solving 3z2 = 5z Solving for variable 'z'. Reorder the terms: -5z + 3z2 = 5z + -5z Combine like terms: 5z + -5z = 0 -5z + 3z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-5 + 3z) = 0Subproblem 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 + 3z)' equal to zero and attempt to solve: Simplifying -5 + 3z = 0 Solving -5 + 3z = 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 + 3z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 0 + 5 3z = 0 + 5 Combine like terms: 0 + 5 = 5 3z = 5 Divide each side by '3'. z = 1.666666667 Simplifying z = 1.666666667Solution
z = {0, 1.666666667}
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