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Simplifying 25g2 + -10bg + b2 = 0 Reorder the terms: -10bg + b2 + 25g2 = 0 Solving -10bg + b2 + 25g2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -5g)(b + -5g) = 0Subproblem 1
Set the factor '(b + -5g)' equal to zero and attempt to solve: Simplifying b + -5g = 0 Solving b + -5g = 0 Move all terms containing b to the left, all other terms to the right. Add '5g' to each side of the equation. b + -5g + 5g = 0 + 5g Combine like terms: -5g + 5g = 0 b + 0 = 0 + 5g b = 0 + 5g Remove the zero: b = 5g Simplifying b = 5gSubproblem 2
Set the factor '(b + -5g)' equal to zero and attempt to solve: Simplifying b + -5g = 0 Solving b + -5g = 0 Move all terms containing b to the left, all other terms to the right. Add '5g' to each side of the equation. b + -5g + 5g = 0 + 5g Combine like terms: -5g + 5g = 0 b + 0 = 0 + 5g b = 0 + 5g Remove the zero: b = 5g Simplifying b = 5gSolution
b = {5g, 5g}
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