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Simplifying 3z2 + -2z = 0 Reorder the terms: -2z + 3z2 = 0 Solving -2z + 3z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-2 + 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 '(-2 + 3z)' equal to zero and attempt to solve: Simplifying -2 + 3z = 0 Solving -2 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = 0 + 2 3z = 0 + 2 Combine like terms: 0 + 2 = 2 3z = 2 Divide each side by '3'. z = 0.6666666667 Simplifying z = 0.6666666667Solution
z = {0, 0.6666666667}
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