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