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Simplifying 81b2 + -180bg + 100g2 = 0 Reorder the terms: -180bg + 81b2 + 100g2 = 0 Solving -180bg + 81b2 + 100g2 = 0 Solving for variable 'b'. Factor a trinomial. (9b + -10g)(9b + -10g) = 0Subproblem 1
Set the factor '(9b + -10g)' equal to zero and attempt to solve: Simplifying 9b + -10g = 0 Solving 9b + -10g = 0 Move all terms containing b to the left, all other terms to the right. Add '10g' to each side of the equation. 9b + -10g + 10g = 0 + 10g Combine like terms: -10g + 10g = 0 9b + 0 = 0 + 10g 9b = 0 + 10g Remove the zero: 9b = 10g Divide each side by '9'. b = 1.111111111g Simplifying b = 1.111111111gSubproblem 2
Set the factor '(9b + -10g)' equal to zero and attempt to solve: Simplifying 9b + -10g = 0 Solving 9b + -10g = 0 Move all terms containing b to the left, all other terms to the right. Add '10g' to each side of the equation. 9b + -10g + 10g = 0 + 10g Combine like terms: -10g + 10g = 0 9b + 0 = 0 + 10g 9b = 0 + 10g Remove the zero: 9b = 10g Divide each side by '9'. b = 1.111111111g Simplifying b = 1.111111111gSolution
b = {1.111111111g, 1.111111111g}
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