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Simplifying 36q2 + -60qb + 25b2 = 0 Reorder the terms: -60bq + 25b2 + 36q2 = 0 Solving -60bq + 25b2 + 36q2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + -6q)(5b + -6q) = 0Subproblem 1
Set the factor '(5b + -6q)' equal to zero and attempt to solve: Simplifying 5b + -6q = 0 Solving 5b + -6q = 0 Move all terms containing b to the left, all other terms to the right. Add '6q' to each side of the equation. 5b + -6q + 6q = 0 + 6q Combine like terms: -6q + 6q = 0 5b + 0 = 0 + 6q 5b = 0 + 6q Remove the zero: 5b = 6q Divide each side by '5'. b = 1.2q Simplifying b = 1.2qSubproblem 2
Set the factor '(5b + -6q)' equal to zero and attempt to solve: Simplifying 5b + -6q = 0 Solving 5b + -6q = 0 Move all terms containing b to the left, all other terms to the right. Add '6q' to each side of the equation. 5b + -6q + 6q = 0 + 6q Combine like terms: -6q + 6q = 0 5b + 0 = 0 + 6q 5b = 0 + 6q Remove the zero: 5b = 6q Divide each side by '5'. b = 1.2q Simplifying b = 1.2qSolution
b = {1.2q, 1.2q}
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