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Simplifying B2 + -1BG + -6G2 = 0 Reorder the terms: -1BG + B2 + -6G2 = 0 Solving -1BG + B2 + -6G2 = 0 Solving for variable 'B'. Factor a trinomial. (B + -3G)(B + 2G) = 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 + 2G)' equal to zero and attempt to solve: Simplifying B + 2G = 0 Solving B + 2G = 0 Move all terms containing B to the left, all other terms to the right. Add '-2G' to each side of the equation. B + 2G + -2G = 0 + -2G Combine like terms: 2G + -2G = 0 B + 0 = 0 + -2G B = 0 + -2G Remove the zero: B = -2G Simplifying B = -2GSolution
B = {3G, -2G}
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