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Simplifying z2 + -1000z + 60775 = 0 Reorder the terms: 60775 + -1000z + z2 = 0 Solving 60775 + -1000z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (65 + -1z)(935 + -1z) = 0Subproblem 1
Set the factor '(65 + -1z)' equal to zero and attempt to solve: Simplifying 65 + -1z = 0 Solving 65 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -1z = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1z = 0 + -65 -1z = 0 + -65 Combine like terms: 0 + -65 = -65 -1z = -65 Divide each side by '-1'. z = 65 Simplifying z = 65Subproblem 2
Set the factor '(935 + -1z)' equal to zero and attempt to solve: Simplifying 935 + -1z = 0 Solving 935 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-935' to each side of the equation. 935 + -935 + -1z = 0 + -935 Combine like terms: 935 + -935 = 0 0 + -1z = 0 + -935 -1z = 0 + -935 Combine like terms: 0 + -935 = -935 -1z = -935 Divide each side by '-1'. z = 935 Simplifying z = 935Solution
z = {65, 935}
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