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Simplifying z2 + -7z + -450 = 0 Reorder the terms: -450 + -7z + z2 = 0 Solving -450 + -7z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-18 + -1z)(25 + -1z) = 0Subproblem 1
Set the factor '(-18 + -1z)' equal to zero and attempt to solve: Simplifying -18 + -1z = 0 Solving -18 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1z = 0 + 18 -1z = 0 + 18 Combine like terms: 0 + 18 = 18 -1z = 18 Divide each side by '-1'. z = -18 Simplifying z = -18Subproblem 2
Set the factor '(25 + -1z)' equal to zero and attempt to solve: Simplifying 25 + -1z = 0 Solving 25 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1z = 0 + -25 -1z = 0 + -25 Combine like terms: 0 + -25 = -25 -1z = -25 Divide each side by '-1'. z = 25 Simplifying z = 25Solution
z = {-18, 25}
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