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Simplifying z2 + -18z = -17 Reorder the terms: -18z + z2 = -17 Solving -18z + z2 = -17 Solving for variable 'z'. Reorder the terms: 17 + -18z + z2 = -17 + 17 Combine like terms: -17 + 17 = 0 17 + -18z + z2 = 0 Factor a trinomial. (1 + -1z)(17 + -1z) = 0Subproblem 1
Set the factor '(1 + -1z)' equal to zero and attempt to solve: Simplifying 1 + -1z = 0 Solving 1 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 0 + -1 -1z = 0 + -1 Combine like terms: 0 + -1 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1Subproblem 2
Set the factor '(17 + -1z)' equal to zero and attempt to solve: Simplifying 17 + -1z = 0 Solving 17 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1z = 0 + -17 -1z = 0 + -17 Combine like terms: 0 + -17 = -17 -1z = -17 Divide each side by '-1'. z = 17 Simplifying z = 17Solution
z = {1, 17}
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