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Simplifying 7z2 + -54z + -81 = 0 Reorder the terms: -81 + -54z + 7z2 = 0 Solving -81 + -54z + 7z2 = 0 Solving for variable 'z'. Factor a trinomial. (-9 + -7z)(9 + -1z) = 0Subproblem 1
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 = -1.285714286Subproblem 2
Set the factor '(9 + -1z)' equal to zero and attempt to solve: Simplifying 9 + -1z = 0 Solving 9 + -1z = 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 + -1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 0 + -9 -1z = 0 + -9 Combine like terms: 0 + -9 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9Solution
z = {-1.285714286, 9}
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