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Simplifying 7z2 + 72z + 81 = 0 Reorder the terms: 81 + 72z + 7z2 = 0 Solving 81 + 72z + 7z2 = 0 Solving for variable 'z'. Factor a trinomial. (9 + z)(9 + 7z) = 0Subproblem 1
Set the factor '(9 + z)' equal to zero and attempt to solve: Simplifying 9 + z = 0 Solving 9 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z = 0 + -9 z = 0 + -9 Combine like terms: 0 + -9 = -9 z = -9 Simplifying z = -9Subproblem 2
Set the factor '(9 + 7z)' equal to zero and attempt to solve: Simplifying 9 + 7z = 0 Solving 9 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = 0 + -9 7z = 0 + -9 Combine like terms: 0 + -9 = -9 7z = -9 Divide each side by '7'. z = -1.285714286 Simplifying z = -1.285714286Solution
z = {-9, -1.285714286}
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