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Simplifying z2 + -17z + -60 = 0 Reorder the terms: -60 + -17z + z2 = 0 Solving -60 + -17z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + -1z)(20 + -1z) = 0Subproblem 1
Set the factor '(-3 + -1z)' equal to zero and attempt to solve: Simplifying -3 + -1z = 0 Solving -3 + -1z = 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 + -1z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = 0 + 3 -1z = 0 + 3 Combine like terms: 0 + 3 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3Subproblem 2
Set the factor '(20 + -1z)' equal to zero and attempt to solve: Simplifying 20 + -1z = 0 Solving 20 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = 0 + -20 -1z = 0 + -20 Combine like terms: 0 + -20 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20Solution
z = {-3, 20}
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