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Simplifying z2 + -20z + -44 = 0 Reorder the terms: -44 + -20z + z2 = 0 Solving -44 + -20z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-2 + -1z)(22 + -1z) = 0Subproblem 1
Set the factor '(-2 + -1z)' equal to zero and attempt to solve: Simplifying -2 + -1z = 0 Solving -2 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = 0 + 2 -1z = 0 + 2 Combine like terms: 0 + 2 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2Subproblem 2
Set the factor '(22 + -1z)' equal to zero and attempt to solve: Simplifying 22 + -1z = 0 Solving 22 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1z = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1z = 0 + -22 -1z = 0 + -22 Combine like terms: 0 + -22 = -22 -1z = -22 Divide each side by '-1'. z = 22 Simplifying z = 22Solution
z = {-2, 22}
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