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Simplifying 9z2 + 18z + -16 = 0 Reorder the terms: -16 + 18z + 9z2 = 0 Solving -16 + 18z + 9z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + -3z)(2 + -3z) = 0Subproblem 1
Set the factor '(-8 + -3z)' equal to zero and attempt to solve: Simplifying -8 + -3z = 0 Solving -8 + -3z = 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 + -3z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3z = 0 + 8 -3z = 0 + 8 Combine like terms: 0 + 8 = 8 -3z = 8 Divide each side by '-3'. z = -2.666666667 Simplifying z = -2.666666667Subproblem 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 = {-2.666666667, 0.6666666667}
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