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Simplifying b2 + 4bg + -21g2 = 0 Reorder the terms: 4bg + b2 + -21g2 = 0 Solving 4bg + b2 + -21g2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -3g)(b + 7g) = 0Subproblem 1
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 = 3gSubproblem 2
Set the factor '(b + 7g)' equal to zero and attempt to solve: Simplifying b + 7g = 0 Solving b + 7g = 0 Move all terms containing b to the left, all other terms to the right. Add '-7g' to each side of the equation. b + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 b + 0 = 0 + -7g b = 0 + -7g Remove the zero: b = -7g Simplifying b = -7gSolution
b = {3g, -7g}
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