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Simplifying z2 + 23z + -24 = 0 Reorder the terms: -24 + 23z + z2 = 0 Solving -24 + 23z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-24 + -1z)(1 + -1z) = 0Subproblem 1
Set the factor '(-24 + -1z)' equal to zero and attempt to solve: Simplifying -24 + -1z = 0 Solving -24 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1z = 0 + 24 -1z = 0 + 24 Combine like terms: 0 + 24 = 24 -1z = 24 Divide each side by '-1'. z = -24 Simplifying z = -24Subproblem 2
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 = 1Solution
z = {-24, 1}
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