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Simplifying 10q2 + 10 = 29q Reorder the terms: 10 + 10q2 = 29q Solving 10 + 10q2 = 29q Solving for variable 'q'. Reorder the terms: 10 + -29q + 10q2 = 29q + -29q Combine like terms: 29q + -29q = 0 10 + -29q + 10q2 = 0 Factor a trinomial. (2 + -5q)(5 + -2q) = 0Subproblem 1
Set the factor '(2 + -5q)' equal to zero and attempt to solve: Simplifying 2 + -5q = 0 Solving 2 + -5q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5q = 0 + -2 -5q = 0 + -2 Combine like terms: 0 + -2 = -2 -5q = -2 Divide each side by '-5'. q = 0.4 Simplifying q = 0.4Subproblem 2
Set the factor '(5 + -2q)' equal to zero and attempt to solve: Simplifying 5 + -2q = 0 Solving 5 + -2q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2q = 0 + -5 -2q = 0 + -5 Combine like terms: 0 + -5 = -5 -2q = -5 Divide each side by '-2'. q = 2.5 Simplifying q = 2.5Solution
q = {0.4, 2.5}
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