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Simplifying z2 + -9z + -162 = 0 Reorder the terms: -162 + -9z + z2 = 0 Solving -162 + -9z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-9 + -1z)(18 + -1z) = 0Subproblem 1
Set the factor '(-9 + -1z)' equal to zero and attempt to solve: Simplifying -9 + -1z = 0 Solving -9 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 0 + 9 -1z = 0 + 9 Combine like terms: 0 + 9 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9Subproblem 2
Set the factor '(18 + -1z)' equal to zero and attempt to solve: Simplifying 18 + -1z = 0 Solving 18 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 0 + -18 -1z = 0 + -18 Combine like terms: 0 + -18 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18Solution
z = {-9, 18}
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