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Simplifying q2 + -6q = 1755 Reorder the terms: -6q + q2 = 1755 Solving -6q + q2 = 1755 Solving for variable 'q'. Reorder the terms: -1755 + -6q + q2 = 1755 + -1755 Combine like terms: 1755 + -1755 = 0 -1755 + -6q + q2 = 0 Factor a trinomial. (-39 + -1q)(45 + -1q) = 0Subproblem 1
Set the factor '(-39 + -1q)' equal to zero and attempt to solve: Simplifying -39 + -1q = 0 Solving -39 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -1q = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -1q = 0 + 39 -1q = 0 + 39 Combine like terms: 0 + 39 = 39 -1q = 39 Divide each side by '-1'. q = -39 Simplifying q = -39Subproblem 2
Set the factor '(45 + -1q)' equal to zero and attempt to solve: Simplifying 45 + -1q = 0 Solving 45 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1q = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1q = 0 + -45 -1q = 0 + -45 Combine like terms: 0 + -45 = -45 -1q = -45 Divide each side by '-1'. q = 45 Simplifying q = 45Solution
q = {-39, 45}
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