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Simplifying 25q2 + 40q + 16 = 0 Reorder the terms: 16 + 40q + 25q2 = 0 Solving 16 + 40q + 25q2 = 0 Solving for variable 'q'. Factor a trinomial. (4 + 5q)(4 + 5q) = 0Subproblem 1
Set the factor '(4 + 5q)' equal to zero and attempt to solve: Simplifying 4 + 5q = 0 Solving 4 + 5q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5q = 0 + -4 5q = 0 + -4 Combine like terms: 0 + -4 = -4 5q = -4 Divide each side by '5'. q = -0.8 Simplifying q = -0.8Subproblem 2
Set the factor '(4 + 5q)' equal to zero and attempt to solve: Simplifying 4 + 5q = 0 Solving 4 + 5q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5q = 0 + -4 5q = 0 + -4 Combine like terms: 0 + -4 = -4 5q = -4 Divide each side by '5'. q = -0.8 Simplifying q = -0.8Solution
q = {-0.8, -0.8}
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