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Simplifying z = 6z2 Solving z = 6z2 Solving for variable 'z'. Combine like terms: 6z2 + -6z2 = 0 z + -6z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(1 + -6z) = 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 '(1 + -6z)' equal to zero and attempt to solve: Simplifying 1 + -6z = 0 Solving 1 + -6z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6z = 0 + -1 -6z = 0 + -1 Combine like terms: 0 + -1 = -1 -6z = -1 Divide each side by '-6'. z = 0.1666666667 Simplifying z = 0.1666666667Solution
z = {0, 0.1666666667}
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