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Simplifying 20z2 + 3z + -9 = 0 Reorder the terms: -9 + 3z + 20z2 = 0 Solving -9 + 3z + 20z2 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + -4z)(3 + -5z) = 0Subproblem 1
Set the factor '(-3 + -4z)' equal to zero and attempt to solve: Simplifying -3 + -4z = 0 Solving -3 + -4z = 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 + -4z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4z = 0 + 3 -4z = 0 + 3 Combine like terms: 0 + 3 = 3 -4z = 3 Divide each side by '-4'. z = -0.75 Simplifying z = -0.75Subproblem 2
Set the factor '(3 + -5z)' equal to zero and attempt to solve: Simplifying 3 + -5z = 0 Solving 3 + -5z = 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 + -5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = 0 + -3 -5z = 0 + -3 Combine like terms: 0 + -3 = -3 -5z = -3 Divide each side by '-5'. z = 0.6 Simplifying z = 0.6Solution
z = {-0.75, 0.6}
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