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Simplifying 3z3 + -8z2 = 0 Reorder the terms: -8z2 + 3z3 = 0 Solving -8z2 + 3z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z2'. z2(-8 + 3z) = 0Subproblem 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 '(-8 + 3z)' equal to zero and attempt to solve: Simplifying -8 + 3z = 0 Solving -8 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = 0 + 8 3z = 0 + 8 Combine like terms: 0 + 8 = 8 3z = 8 Divide each side by '3'. z = 2.666666667 Simplifying z = 2.666666667Solution
z = {0, 2.666666667}
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