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Simplifying 9b2 + 42bg + 49g2 = 0 Reorder the terms: 42bg + 9b2 + 49g2 = 0 Solving 42bg + 9b2 + 49g2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + 7g)(3b + 7g) = 0Subproblem 1
Set the factor '(3b + 7g)' equal to zero and attempt to solve: Simplifying 3b + 7g = 0 Solving 3b + 7g = 0 Move all terms containing b to the left, all other terms to the right. Add '-7g' to each side of the equation. 3b + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 3b + 0 = 0 + -7g 3b = 0 + -7g Remove the zero: 3b = -7g Divide each side by '3'. b = -2.333333333g Simplifying b = -2.333333333gSubproblem 2
Set the factor '(3b + 7g)' equal to zero and attempt to solve: Simplifying 3b + 7g = 0 Solving 3b + 7g = 0 Move all terms containing b to the left, all other terms to the right. Add '-7g' to each side of the equation. 3b + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 3b + 0 = 0 + -7g 3b = 0 + -7g Remove the zero: 3b = -7g Divide each side by '3'. b = -2.333333333g Simplifying b = -2.333333333gSolution
b = {-2.333333333g, -2.333333333g}
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