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Simplifying 15z2 + 44z + -20 = 0 Reorder the terms: -20 + 44z + 15z2 = 0 Solving -20 + 44z + 15z2 = 0 Solving for variable 'z'. Factor a trinomial. (-10 + -3z)(2 + -5z) = 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 '(2 + -5z)' equal to zero and attempt to solve: Simplifying 2 + -5z = 0 Solving 2 + -5z = 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 + -5z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5z = 0 + -2 -5z = 0 + -2 Combine like terms: 0 + -2 = -2 -5z = -2 Divide each side by '-5'. z = 0.4 Simplifying z = 0.4Solution
z = {-3.333333333, 0.4}
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