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Simplifying 0 = q2 + 16q + -225 Reorder the terms: 0 = -225 + 16q + q2 Solving 0 = -225 + 16q + q2 Solving for variable 'q'. Combine like terms: 0 + 225 = 225 225 + -16q + -1q2 = -225 + 16q + q2 + 225 + -16q + -1q2 Reorder the terms: 225 + -16q + -1q2 = -225 + 225 + 16q + -16q + q2 + -1q2 Combine like terms: -225 + 225 = 0 225 + -16q + -1q2 = 0 + 16q + -16q + q2 + -1q2 225 + -16q + -1q2 = 16q + -16q + q2 + -1q2 Combine like terms: 16q + -16q = 0 225 + -16q + -1q2 = 0 + q2 + -1q2 225 + -16q + -1q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 225 + -16q + -1q2 = 0 Factor a trinomial. (9 + -1q)(25 + q) = 0Subproblem 1
Set the factor '(9 + -1q)' equal to zero and attempt to solve: Simplifying 9 + -1q = 0 Solving 9 + -1q = 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 + -1q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1q = 0 + -9 -1q = 0 + -9 Combine like terms: 0 + -9 = -9 -1q = -9 Divide each side by '-1'. q = 9 Simplifying q = 9Subproblem 2
Set the factor '(25 + q)' equal to zero and attempt to solve: Simplifying 25 + q = 0 Solving 25 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + q = 0 + -25 Combine like terms: 25 + -25 = 0 0 + q = 0 + -25 q = 0 + -25 Combine like terms: 0 + -25 = -25 q = -25 Simplifying q = -25Solution
q = {9, -25}
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