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Simplifying b2 + -3bg + -40g2 = 0 Reorder the terms: -3bg + b2 + -40g2 = 0 Solving -3bg + b2 + -40g2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -8g)(b + 5g) = 0Subproblem 1
Set the factor '(b + -8g)' equal to zero and attempt to solve: Simplifying b + -8g = 0 Solving b + -8g = 0 Move all terms containing b to the left, all other terms to the right. Add '8g' to each side of the equation. b + -8g + 8g = 0 + 8g Combine like terms: -8g + 8g = 0 b + 0 = 0 + 8g b = 0 + 8g Remove the zero: b = 8g Simplifying b = 8gSubproblem 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 = {8g, -5g}
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