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Simplifying z2 + 55 + -16z = 0 Reorder the terms: 55 + -16z + z2 = 0 Solving 55 + -16z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (5 + -1z)(11 + -1z) = 0Subproblem 1
Set the factor '(5 + -1z)' equal to zero and attempt to solve: Simplifying 5 + -1z = 0 Solving 5 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 0 + -5 -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5Subproblem 2
Set the factor '(11 + -1z)' equal to zero and attempt to solve: Simplifying 11 + -1z = 0 Solving 11 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = 0 + -11 -1z = 0 + -11 Combine like terms: 0 + -11 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11Solution
z = {5, 11}
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