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Simplifying 9z2 + -27z + -10 = 0 Reorder the terms: -10 + -27z + 9z2 = 0 Solving -10 + -27z + 9z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -3z)(10 + -3z) = 0Subproblem 1
Set the factor '(-1 + -3z)' equal to zero and attempt to solve: Simplifying -1 + -3z = 0 Solving -1 + -3z = 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 + -3z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3z = 0 + 1 -3z = 0 + 1 Combine like terms: 0 + 1 = 1 -3z = 1 Divide each side by '-3'. z = -0.3333333333 Simplifying z = -0.3333333333Subproblem 2
Set the factor '(10 + -3z)' equal to zero and attempt to solve: Simplifying 10 + -3z = 0 Solving 10 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3z = 0 + -10 -3z = 0 + -10 Combine like terms: 0 + -10 = -10 -3z = -10 Divide each side by '-3'. z = 3.333333333 Simplifying z = 3.333333333Solution
z = {-0.3333333333, 3.333333333}
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