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Simplifying 5z2 = 3z Solving 5z2 = 3z Solving for variable 'z'. Reorder the terms: -3z + 5z2 = 3z + -3z Combine like terms: 3z + -3z = 0 -3z + 5z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-3 + 5z) = 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 '(-3 + 5z)' equal to zero and attempt to solve: Simplifying -3 + 5z = 0 Solving -3 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5z = 0 + 3 5z = 0 + 3 Combine like terms: 0 + 3 = 3 5z = 3 Divide each side by '5'. z = 0.6 Simplifying z = 0.6Solution
z = {0, 0.6}
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