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Simplifying 6y2 + -2by2 + by = 0 Reorder the terms: by + -2by2 + 6y2 = 0 Solving by + -2by2 + 6y2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6y2' to each side of the equation. by + -2by2 + 6y2 + -6y2 = 0 + -6y2 Combine like terms: 6y2 + -6y2 = 0 by + -2by2 + 0 = 0 + -6y2 by + -2by2 = 0 + -6y2 Remove the zero: by + -2by2 = -6y2 Combine like terms: -6y2 + 6y2 = 0 by + -2by2 + 6y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(b + -2by + 6y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing b to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(b + -2by + 6y)' equal to zero and attempt to solve: Simplifying b + -2by + 6y = 0 Solving b + -2by + 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 + -2by + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 b + -2by + 0 = 0 + -6y b + -2by = 0 + -6y Remove the zero: b + -2by = -6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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