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Simplifying 3z2 + 8z + -11 = 0 Reorder the terms: -11 + 8z + 3z2 = 0 Solving -11 + 8z + 3z2 = 0 Solving for variable 'z'. Factor a trinomial. (-11 + -3z)(1 + -1z) = 0Subproblem 1
Set the factor '(-11 + -3z)' equal to zero and attempt to solve: Simplifying -11 + -3z = 0 Solving -11 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3z = 0 + 11 -3z = 0 + 11 Combine like terms: 0 + 11 = 11 -3z = 11 Divide each side by '-3'. z = -3.666666667 Simplifying z = -3.666666667Subproblem 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 = {-3.666666667, 1}
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