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Simplifying (z2) + -2z = 323 z2 + -2z = 323 Reorder the terms: -2z + z2 = 323 Solving -2z + z2 = 323 Solving for variable 'z'. Reorder the terms: -323 + -2z + z2 = 323 + -323 Combine like terms: 323 + -323 = 0 -323 + -2z + z2 = 0 Factor a trinomial. (-17 + -1z)(19 + -1z) = 0Subproblem 1
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 = -17Subproblem 2
Set the factor '(19 + -1z)' equal to zero and attempt to solve: Simplifying 19 + -1z = 0 Solving 19 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1z = 0 + -19 -1z = 0 + -19 Combine like terms: 0 + -19 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19Solution
z = {-17, 19}
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