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Simplifying F(z) = 3z2 Multiply F * z zF = 3z2 Solving zF = 3z2 Solving for variable 'z'. Combine like terms: 3z2 + -3z2 = 0 zF + -3z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(F + -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 '(F + -3z)' equal to zero and attempt to solve: Simplifying F + -3z = 0 Solving F + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -3z = 0 + -1F Combine like terms: F + -1F = 0 0 + -3z = 0 + -1F -3z = 0 + -1F Remove the zero: -3z = -1F Divide each side by '-3'. z = 0.3333333333F Simplifying z = 0.3333333333FSolution
z = {0, 0.3333333333F}
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