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Simplifying z2 + 7z + -98 = 0 Reorder the terms: -98 + 7z + z2 = 0 Solving -98 + 7z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-14 + -1z)(7 + -1z) = 0Subproblem 1
Set the factor '(-14 + -1z)' equal to zero and attempt to solve: Simplifying -14 + -1z = 0 Solving -14 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1z = 0 + 14 -1z = 0 + 14 Combine like terms: 0 + 14 = 14 -1z = 14 Divide each side by '-1'. z = -14 Simplifying z = -14Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7Solution
z = {-14, 7}
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