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Simplifying (3a2b2 + -1a2b + 2b + -1a) + -1(2a2b2 + 2a2b + -2b + -1a) = 0 Reorder the terms: (-1a + -1a2b + 3a2b2 + 2b) + -1(2a2b2 + 2a2b + -2b + -1a) = 0 Remove parenthesis around (-1a + -1a2b + 3a2b2 + 2b) -1a + -1a2b + 3a2b2 + 2b + -1(2a2b2 + 2a2b + -2b + -1a) = 0 Reorder the terms: -1a + -1a2b + 3a2b2 + 2b + -1(-1a + 2a2b + 2a2b2 + -2b) = 0 -1a + -1a2b + 3a2b2 + 2b + (-1a * -1 + 2a2b * -1 + 2a2b2 * -1 + -2b * -1) = 0 -1a + -1a2b + 3a2b2 + 2b + (1a + -2a2b + -2a2b2 + 2b) = 0 Reorder the terms: -1a + 1a + -1a2b + -2a2b + 3a2b2 + -2a2b2 + 2b + 2b = 0 Combine like terms: -1a + 1a = 0 0 + -1a2b + -2a2b + 3a2b2 + -2a2b2 + 2b + 2b = 0 -1a2b + -2a2b + 3a2b2 + -2a2b2 + 2b + 2b = 0 Combine like terms: -1a2b + -2a2b = -3a2b -3a2b + 3a2b2 + -2a2b2 + 2b + 2b = 0 Combine like terms: 3a2b2 + -2a2b2 = 1a2b2 -3a2b + 1a2b2 + 2b + 2b = 0 Combine like terms: 2b + 2b = 4b -3a2b + 1a2b2 + 4b = 0 Solving -3a2b + 1a2b2 + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -3a2b + 1a2b2 + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 -3a2b + 1a2b2 + 0 = 0 + -4b -3a2b + 1a2b2 = 0 + -4b Remove the zero: -3a2b + 1a2b2 = -4b Combine like terms: -4b + 4b = 0 -3a2b + 1a2b2 + 4b = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-3a2 + a2b + 4) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(-3a2 + a2b + 4)' equal to zero and attempt to solve: Simplifying -3a2 + a2b + 4 = 0 Reorder the terms: 4 + -3a2 + a2b = 0 Solving 4 + -3a2 + a2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3a2 + -4 + a2b = 0 + -4 Reorder the terms: 4 + -4 + -3a2 + a2b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3a2 + a2b = 0 + -4 -3a2 + a2b = 0 + -4 Combine like terms: 0 + -4 = -4 -3a2 + a2b = -4 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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