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Simplifying 3z2 + -22z + -368 = 0 Reorder the terms: -368 + -22z + 3z2 = 0 Solving -368 + -22z + 3z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + -1z)(46 + -3z) = 0Subproblem 1
Set the factor '(-8 + -1z)' equal to zero and attempt to solve: Simplifying -8 + -1z = 0 Solving -8 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 0 + 8 -1z = 0 + 8 Combine like terms: 0 + 8 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8Subproblem 2
Set the factor '(46 + -3z)' equal to zero and attempt to solve: Simplifying 46 + -3z = 0 Solving 46 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -3z = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -3z = 0 + -46 -3z = 0 + -46 Combine like terms: 0 + -46 = -46 -3z = -46 Divide each side by '-3'. z = 15.33333333 Simplifying z = 15.33333333Solution
z = {-8, 15.33333333}
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