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Simplifying 28z2 + 71z + 18 = 0 Reorder the terms: 18 + 71z + 28z2 = 0 Solving 18 + 71z + 28z2 = 0 Solving for variable 'z'. Factor a trinomial. (9 + 4z)(2 + 7z) = 0Subproblem 1
Set the factor '(9 + 4z)' equal to zero and attempt to solve: Simplifying 9 + 4z = 0 Solving 9 + 4z = 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 + 4z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4z = 0 + -9 4z = 0 + -9 Combine like terms: 0 + -9 = -9 4z = -9 Divide each side by '4'. z = -2.25 Simplifying z = -2.25Subproblem 2
Set the factor '(2 + 7z)' equal to zero and attempt to solve: Simplifying 2 + 7z = 0 Solving 2 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 0 + -2 7z = 0 + -2 Combine like terms: 0 + -2 = -2 7z = -2 Divide each side by '7'. z = -0.2857142857 Simplifying z = -0.2857142857Solution
z = {-2.25, -0.2857142857}
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