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Simplifying 7z2 + -18z = 9 Reorder the terms: -18z + 7z2 = 9 Solving -18z + 7z2 = 9 Solving for variable 'z'. Reorder the terms: -9 + -18z + 7z2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -18z + 7z2 = 0 Factor a trinomial. (-3 + -7z)(3 + -1z) = 0Subproblem 1
Set the factor '(-3 + -7z)' equal to zero and attempt to solve: Simplifying -3 + -7z = 0 Solving -3 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7z = 0 + 3 -7z = 0 + 3 Combine like terms: 0 + 3 = 3 -7z = 3 Divide each side by '-7'. z = -0.4285714286 Simplifying z = -0.4285714286Subproblem 2
Set the factor '(3 + -1z)' equal to zero and attempt to solve: Simplifying 3 + -1z = 0 Solving 3 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 0 + -3 -1z = 0 + -3 Combine like terms: 0 + -3 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3Solution
z = {-0.4285714286, 3}
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