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Simplifying 4z3 + -6z2 = 0 Reorder the terms: -6z2 + 4z3 = 0 Solving -6z2 + 4z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z2'. 2z2(-3 + 2z) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(-3 + 2z)' equal to zero and attempt to solve: Simplifying -3 + 2z = 0 Solving -3 + 2z = 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 + 2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 0 + 3 2z = 0 + 3 Combine like terms: 0 + 3 = 3 2z = 3 Divide each side by '2'. z = 1.5 Simplifying z = 1.5Solution
z = {0, 1.5}
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