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Simplifying (b + -2ya2)(3b + -3ya2) = 0 Reorder the terms: (-2a2y + b)(3b + -3ya2) = 0 Reorder the terms: (-2a2y + b)(-3a2y + 3b) = 0 Multiply (-2a2y + b) * (-3a2y + 3b) (-2a2y * (-3a2y + 3b) + b(-3a2y + 3b)) = 0 ((-3a2y * -2a2y + 3b * -2a2y) + b(-3a2y + 3b)) = 0 Reorder the terms: ((-6a2by + 6a4y2) + b(-3a2y + 3b)) = 0 ((-6a2by + 6a4y2) + b(-3a2y + 3b)) = 0 (-6a2by + 6a4y2 + (-3a2y * b + 3b * b)) = 0 (-6a2by + 6a4y2 + (-3a2by + 3b2)) = 0 Reorder the terms: (-6a2by + -3a2by + 6a4y2 + 3b2) = 0 Combine like terms: -6a2by + -3a2by = -9a2by (-9a2by + 6a4y2 + 3b2) = 0 Solving -9a2by + 6a4y2 + 3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3a2by + 2a4y2 + b2) = 0 Factor a trinomial. 3((a2y + -1b)(2a2y + -1b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(a2y + -1b)' equal to zero and attempt to solve: Simplifying a2y + -1b = 0 Solving a2y + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a2y + -1b + b = 0 + b Combine like terms: -1b + b = 0 a2y + 0 = 0 + b a2y = 0 + b Remove the zero: a2y = b Divide each side by 'y'. a2 = by-1 Simplifying a2 = by-1 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 '(2a2y + -1b)' equal to zero and attempt to solve: Simplifying 2a2y + -1b = 0 Solving 2a2y + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 2a2y + -1b + b = 0 + b Combine like terms: -1b + b = 0 2a2y + 0 = 0 + b 2a2y = 0 + b Remove the zero: 2a2y = b Divide each side by '2y'. a2 = 0.5by-1 Simplifying a2 = 0.5by-1 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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