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Simplifying b2 + 16bg + 63g2 = 0 Reorder the terms: 16bg + b2 + 63g2 = 0 Solving 16bg + b2 + 63g2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 7g)(b + 9g) = 0Subproblem 1
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 = -7gSubproblem 2
Set the factor '(b + 9g)' equal to zero and attempt to solve: Simplifying b + 9g = 0 Solving b + 9g = 0 Move all terms containing b to the left, all other terms to the right. Add '-9g' to each side of the equation. b + 9g + -9g = 0 + -9g Combine like terms: 9g + -9g = 0 b + 0 = 0 + -9g b = 0 + -9g Remove the zero: b = -9g Simplifying b = -9gSolution
b = {-7g, -9g}
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