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Simplifying 99q * q + -92q + 9 = 0 Multiply q * q 99q2 + -92q + 9 = 0 Reorder the terms: 9 + -92q + 99q2 = 0 Solving 9 + -92q + 99q2 = 0 Solving for variable 'q'. Factor a trinomial. (1 + -9q)(9 + -11q) = 0Subproblem 1
Set the factor '(1 + -9q)' equal to zero and attempt to solve: Simplifying 1 + -9q = 0 Solving 1 + -9q = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9q = 0 + -1 -9q = 0 + -1 Combine like terms: 0 + -1 = -1 -9q = -1 Divide each side by '-9'. q = 0.1111111111 Simplifying q = 0.1111111111Subproblem 2
Set the factor '(9 + -11q)' equal to zero and attempt to solve: Simplifying 9 + -11q = 0 Solving 9 + -11q = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -11q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11q = 0 + -9 -11q = 0 + -9 Combine like terms: 0 + -9 = -9 -11q = -9 Divide each side by '-11'. q = 0.8181818182 Simplifying q = 0.8181818182Solution
q = {0.1111111111, 0.8181818182}
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