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Simplifying b2 + -7bg + -30g2 = 0 Reorder the terms: -7bg + b2 + -30g2 = 0 Solving -7bg + b2 + -30g2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -10g)(b + 3g) = 0Subproblem 1
Set the factor '(b + -10g)' equal to zero and attempt to solve: Simplifying b + -10g = 0 Solving b + -10g = 0 Move all terms containing b to the left, all other terms to the right. Add '10g' to each side of the equation. b + -10g + 10g = 0 + 10g Combine like terms: -10g + 10g = 0 b + 0 = 0 + 10g b = 0 + 10g Remove the zero: b = 10g Simplifying b = 10gSubproblem 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 = {10g, -3g}
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