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Simplifying 27z2 + -24z + 4 = 0 Reorder the terms: 4 + -24z + 27z2 = 0 Solving 4 + -24z + 27z2 = 0 Solving for variable 'z'. Factor a trinomial. (2 + -9z)(2 + -3z) = 0Subproblem 1
Set the factor '(2 + -9z)' equal to zero and attempt to solve: Simplifying 2 + -9z = 0 Solving 2 + -9z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9z = 0 + -2 -9z = 0 + -2 Combine like terms: 0 + -2 = -2 -9z = -2 Divide each side by '-9'. z = 0.2222222222 Simplifying z = 0.2222222222Subproblem 2
Set the factor '(2 + -3z)' equal to zero and attempt to solve: Simplifying 2 + -3z = 0 Solving 2 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = 0 + -2 -3z = 0 + -2 Combine like terms: 0 + -2 = -2 -3z = -2 Divide each side by '-3'. z = 0.6666666667 Simplifying z = 0.6666666667Solution
z = {0.2222222222, 0.6666666667}
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