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Simplifying 30z2 + 91z + -30 = 0 Reorder the terms: -30 + 91z + 30z2 = 0 Solving -30 + 91z + 30z2 = 0 Solving for variable 'z'. Factor a trinomial. (-10 + -3z)(3 + -10z) = 0Subproblem 1
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 = -3.333333333Subproblem 2
Set the factor '(3 + -10z)' equal to zero and attempt to solve: Simplifying 3 + -10z = 0 Solving 3 + -10z = 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 + -10z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10z = 0 + -3 -10z = 0 + -3 Combine like terms: 0 + -3 = -3 -10z = -3 Divide each side by '-10'. z = 0.3 Simplifying z = 0.3Solution
z = {-3.333333333, 0.3}
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