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Simplifying 5z3 + -4z2 = 0 Reorder the terms: -4z2 + 5z3 = 0 Solving -4z2 + 5z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z2'. z2(-4 + 5z) = 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 '(-4 + 5z)' equal to zero and attempt to solve: Simplifying -4 + 5z = 0 Solving -4 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5z = 0 + 4 5z = 0 + 4 Combine like terms: 0 + 4 = 4 5z = 4 Divide each side by '5'. z = 0.8 Simplifying z = 0.8Solution
z = {0, 0.8}
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