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Simplifying 3z2 + -38z + -13 = 0 Reorder the terms: -13 + -38z + 3z2 = 0 Solving -13 + -38z + 3z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -3z)(13 + -1z) = 0Subproblem 1
Set the factor '(-1 + -3z)' equal to zero and attempt to solve: Simplifying -1 + -3z = 0 Solving -1 + -3z = 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 + -3z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3z = 0 + 1 -3z = 0 + 1 Combine like terms: 0 + 1 = 1 -3z = 1 Divide each side by '-3'. z = -0.3333333333 Simplifying z = -0.3333333333Subproblem 2
Set the factor '(13 + -1z)' equal to zero and attempt to solve: Simplifying 13 + -1z = 0 Solving 13 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1z = 0 + -13 -1z = 0 + -13 Combine like terms: 0 + -13 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13Solution
z = {-0.3333333333, 13}
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