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Simplifying 3z2 + -17z + -56 = 0 Reorder the terms: -56 + -17z + 3z2 = 0 Solving -56 + -17z + 3z2 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -3z)(8 + -1z) = 0Subproblem 1
Set the factor '(-7 + -3z)' equal to zero and attempt to solve: Simplifying -7 + -3z = 0 Solving -7 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3z = 0 + 7 -3z = 0 + 7 Combine like terms: 0 + 7 = 7 -3z = 7 Divide each side by '-3'. z = -2.333333333 Simplifying z = -2.333333333Subproblem 2
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 = 8Solution
z = {-2.333333333, 8}
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