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Simplifying 4Z2 + -3Z = 0 Reorder the terms: -3Z + 4Z2 = 0 Solving -3Z + 4Z2 = 0 Solving for variable 'Z'. Factor out the Greatest Common Factor (GCF), 'Z'. Z(-3 + 4Z) = 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 + 4Z)' equal to zero and attempt to solve: Simplifying -3 + 4Z = 0 Solving -3 + 4Z = 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 + 4Z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4Z = 0 + 3 4Z = 0 + 3 Combine like terms: 0 + 3 = 3 4Z = 3 Divide each side by '4'. Z = 0.75 Simplifying Z = 0.75Solution
Z = {0, 0.75}
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