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Simplifying 10q2 + 99q + -10 = 0 Reorder the terms: -10 + 99q + 10q2 = 0 Solving -10 + 99q + 10q2 = 0 Solving for variable 'q'. Factor a trinomial. (-10 + -1q)(1 + -10q) = 0Subproblem 1
Set the factor '(-10 + -1q)' equal to zero and attempt to solve: Simplifying -10 + -1q = 0 Solving -10 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1q = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1q = 0 + 10 -1q = 0 + 10 Combine like terms: 0 + 10 = 10 -1q = 10 Divide each side by '-1'. q = -10 Simplifying q = -10Subproblem 2
Set the factor '(1 + -10q)' equal to zero and attempt to solve: Simplifying 1 + -10q = 0 Solving 1 + -10q = 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 + -10q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10q = 0 + -1 -10q = 0 + -1 Combine like terms: 0 + -1 = -1 -10q = -1 Divide each side by '-10'. q = 0.1 Simplifying q = 0.1Solution
q = {-10, 0.1}
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