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Simplifying 6b2 + 12by + 6y2 = 0 Reorder the terms: 12by + 6b2 + 6y2 = 0 Solving 12by + 6b2 + 6y2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6'. 6(2by + b2 + y2) = 0 Factor a trinomial. 6((b + y)(b + y)) = 0 Ignore the factor 6.Subproblem 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 + 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 = -1ySolution
b = {-1y, -1y}
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