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Simplifying b2 + -11bg + 24g2 = 0 Reorder the terms: -11bg + b2 + 24g2 = 0 Solving -11bg + b2 + 24g2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -8g)(b + -3g) = 0Subproblem 1
Set the factor '(b + -8g)' equal to zero and attempt to solve: Simplifying b + -8g = 0 Solving b + -8g = 0 Move all terms containing b to the left, all other terms to the right. Add '8g' to each side of the equation. b + -8g + 8g = 0 + 8g Combine like terms: -8g + 8g = 0 b + 0 = 0 + 8g b = 0 + 8g Remove the zero: b = 8g Simplifying b = 8gSubproblem 2
Set the factor '(b + -3g)' equal to zero and attempt to solve: Simplifying b + -3g = 0 Solving b + -3g = 0 Move all terms containing b to the left, all other terms to the right. Add '3g' to each side of the equation. b + -3g + 3g = 0 + 3g Combine like terms: -3g + 3g = 0 b + 0 = 0 + 3g b = 0 + 3g Remove the zero: b = 3g Simplifying b = 3gSolution
b = {8g, 3g}
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