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Simplifying b2 + 7yb + 6y2 = 0 Reorder the terms: 7by + b2 + 6y2 = 0 Solving 7by + b2 + 6y2 = 0 Solving for variable 'b'. Factor a trinomial. (b + y)(b + 6y) = 0Subproblem 1
Set the factor '(b + y)' equal to zero and attempt to solve: Simplifying b + y = 0 Solving b + y = 0 Move all terms containing b to the left, all other terms to the right. Add '-1y' to each side of the equation. b + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 b + 0 = 0 + -1y b = 0 + -1y Remove the zero: b = -1y Simplifying b = -1ySubproblem 2
Set the factor '(b + 6y)' equal to zero and attempt to solve: Simplifying b + 6y = 0 Solving b + 6y = 0 Move all terms containing b to the left, all other terms to the right. Add '-6y' to each side of the equation. b + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 b + 0 = 0 + -6y b = 0 + -6y Remove the zero: b = -6y Simplifying b = -6ySolution
b = {-1y, -6y}
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