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Simplifying 8q2 + q + -7 = 0 Reorder the terms: -7 + q + 8q2 = 0 Solving -7 + q + 8q2 = 0 Solving for variable 'q'. Factor a trinomial. (-1 + -1q)(7 + -8q) = 0Subproblem 1
Set the factor '(-1 + -1q)' equal to zero and attempt to solve: Simplifying -1 + -1q = 0 Solving -1 + -1q = 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 + -1q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1q = 0 + 1 -1q = 0 + 1 Combine like terms: 0 + 1 = 1 -1q = 1 Divide each side by '-1'. q = -1 Simplifying q = -1Subproblem 2
Set the factor '(7 + -8q)' equal to zero and attempt to solve: Simplifying 7 + -8q = 0 Solving 7 + -8q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8q = 0 + -7 -8q = 0 + -7 Combine like terms: 0 + -7 = -7 -8q = -7 Divide each side by '-8'. q = 0.875 Simplifying q = 0.875Solution
q = {-1, 0.875}
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