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Simplifying z2 + 7z + -60 = 0 Reorder the terms: -60 + 7z + z2 = 0 Solving -60 + 7z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-12 + -1z)(5 + -1z) = 0Subproblem 1
Set the factor '(-12 + -1z)' equal to zero and attempt to solve: Simplifying -12 + -1z = 0 Solving -12 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = 0 + 12 -1z = 0 + 12 Combine like terms: 0 + 12 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12Subproblem 2
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 = 5Solution
z = {-12, 5}
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