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Simplifying b2 + 11bg + 30g2 = 0 Reorder the terms: 11bg + b2 + 30g2 = 0 Solving 11bg + b2 + 30g2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 5g)(b + 6g) = 0Subproblem 1
Set the factor '(b + 5g)' equal to zero and attempt to solve: Simplifying b + 5g = 0 Solving b + 5g = 0 Move all terms containing b to the left, all other terms to the right. Add '-5g' to each side of the equation. b + 5g + -5g = 0 + -5g Combine like terms: 5g + -5g = 0 b + 0 = 0 + -5g b = 0 + -5g Remove the zero: b = -5g Simplifying b = -5gSubproblem 2
Set the factor '(b + 6g)' equal to zero and attempt to solve: Simplifying b + 6g = 0 Solving b + 6g = 0 Move all terms containing b to the left, all other terms to the right. Add '-6g' to each side of the equation. b + 6g + -6g = 0 + -6g Combine like terms: 6g + -6g = 0 b + 0 = 0 + -6g b = 0 + -6g Remove the zero: b = -6g Simplifying b = -6gSolution
b = {-5g, -6g}
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