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Simplifying 5z2 + 9z + -14 = 0 Reorder the terms: -14 + 9z + 5z2 = 0 Solving -14 + 9z + 5z2 = 0 Solving for variable 'z'. Factor a trinomial. (-14 + -5z)(1 + -1z) = 0Subproblem 1
Set the factor '(-14 + -5z)' equal to zero and attempt to solve: Simplifying -14 + -5z = 0 Solving -14 + -5z = 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 + -5z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5z = 0 + 14 -5z = 0 + 14 Combine like terms: 0 + 14 = 14 -5z = 14 Divide each side by '-5'. z = -2.8 Simplifying z = -2.8Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve: Simplifying 1 + -1z = 0 Solving 1 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 0 + -1 -1z = 0 + -1 Combine like terms: 0 + -1 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1Solution
z = {-2.8, 1}
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