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Simplifying 25b2 + 60bg + 36g2 = 0 Reorder the terms: 60bg + 25b2 + 36g2 = 0 Solving 60bg + 25b2 + 36g2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 6g)(5b + 6g) = 0Subproblem 1
Set the factor '(5b + 6g)' equal to zero and attempt to solve: Simplifying 5b + 6g = 0 Solving 5b + 6g = 0 Move all terms containing b to the left, all other terms to the right. Add '-6g' to each side of the equation. 5b + 6g + -6g = 0 + -6g Combine like terms: 6g + -6g = 0 5b + 0 = 0 + -6g 5b = 0 + -6g Remove the zero: 5b = -6g Divide each side by '5'. b = -1.2g Simplifying b = -1.2gSubproblem 2
Set the factor '(5b + 6g)' equal to zero and attempt to solve: Simplifying 5b + 6g = 0 Solving 5b + 6g = 0 Move all terms containing b to the left, all other terms to the right. Add '-6g' to each side of the equation. 5b + 6g + -6g = 0 + -6g Combine like terms: 6g + -6g = 0 5b + 0 = 0 + -6g 5b = 0 + -6g Remove the zero: 5b = -6g Divide each side by '5'. b = -1.2g Simplifying b = -1.2gSolution
b = {-1.2g, -1.2g}
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