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Simplifying 33z2 + 47z + -46 = 0 Reorder the terms: -46 + 47z + 33z2 = 0 Solving -46 + 47z + 33z2 = 0 Solving for variable 'z'. Factor a trinomial. (-23 + -11z)(2 + -3z) = 0Subproblem 1
Set the factor '(-23 + -11z)' equal to zero and attempt to solve: Simplifying -23 + -11z = 0 Solving -23 + -11z = 0 Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -11z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -11z = 0 + 23 -11z = 0 + 23 Combine like terms: 0 + 23 = 23 -11z = 23 Divide each side by '-11'. z = -2.090909091 Simplifying z = -2.090909091Subproblem 2
Set the factor '(2 + -3z)' equal to zero and attempt to solve: Simplifying 2 + -3z = 0 Solving 2 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = 0 + -2 -3z = 0 + -2 Combine like terms: 0 + -2 = -2 -3z = -2 Divide each side by '-3'. z = 0.6666666667 Simplifying z = 0.6666666667Solution
z = {-2.090909091, 0.6666666667}
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