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Simplifying b2 + 7by + 12y2 = 0 Reorder the terms: 7by + b2 + 12y2 = 0 Solving 7by + b2 + 12y2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 3y)(b + 4y) = 0Subproblem 1
Set the factor '(b + 3y)' equal to zero and attempt to solve: Simplifying b + 3y = 0 Solving b + 3y = 0 Move all terms containing b to the left, all other terms to the right. Add '-3y' to each side of the equation. b + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 b + 0 = 0 + -3y b = 0 + -3y Remove the zero: b = -3y Simplifying b = -3ySubproblem 2
Set the factor '(b + 4y)' equal to zero and attempt to solve: Simplifying b + 4y = 0 Solving b + 4y = 0 Move all terms containing b to the left, all other terms to the right. Add '-4y' to each side of the equation. b + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 b + 0 = 0 + -4y b = 0 + -4y Remove the zero: b = -4y Simplifying b = -4ySolution
b = {-3y, -4y}
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