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Simplifying 25b2 + 30bg + 9g2 = 0 Reorder the terms: 30bg + 25b2 + 9g2 = 0 Solving 30bg + 25b2 + 9g2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 3g)(5b + 3g) = 0Subproblem 1
Set the factor '(5b + 3g)' equal to zero and attempt to solve: Simplifying 5b + 3g = 0 Solving 5b + 3g = 0 Move all terms containing b to the left, all other terms to the right. Add '-3g' to each side of the equation. 5b + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 5b + 0 = 0 + -3g 5b = 0 + -3g Remove the zero: 5b = -3g Divide each side by '5'. b = -0.6g Simplifying b = -0.6gSubproblem 2
Set the factor '(5b + 3g)' equal to zero and attempt to solve: Simplifying 5b + 3g = 0 Solving 5b + 3g = 0 Move all terms containing b to the left, all other terms to the right. Add '-3g' to each side of the equation. 5b + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 5b + 0 = 0 + -3g 5b = 0 + -3g Remove the zero: 5b = -3g Divide each side by '5'. b = -0.6g Simplifying b = -0.6gSolution
b = {-0.6g, -0.6g}
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