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Simplifying -9z2 + 6z + -1 = 0 Reorder the terms: -1 + 6z + -9z2 = 0 Solving -1 + 6z + -9z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + 3z)(1 + -3z) = 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 '(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 = 0.3333333333Solution
z = {0.3333333333, 0.3333333333}
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