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Simplifying (7a3b + -3a3 + 2b) + (9a3b + -5a3 + -8b) = 0 Reorder the terms: (-3a3 + 7a3b + 2b) + (9a3b + -5a3 + -8b) = 0 Remove parenthesis around (-3a3 + 7a3b + 2b) -3a3 + 7a3b + 2b + (9a3b + -5a3 + -8b) = 0 Reorder the terms: -3a3 + 7a3b + 2b + (-5a3 + 9a3b + -8b) = 0 Remove parenthesis around (-5a3 + 9a3b + -8b) -3a3 + 7a3b + 2b + -5a3 + 9a3b + -8b = 0 Reorder the terms: -3a3 + -5a3 + 7a3b + 9a3b + 2b + -8b = 0 Combine like terms: -3a3 + -5a3 = -8a3 -8a3 + 7a3b + 9a3b + 2b + -8b = 0 Combine like terms: 7a3b + 9a3b = 16a3b -8a3 + 16a3b + 2b + -8b = 0 Combine like terms: 2b + -8b = -6b -8a3 + 16a3b + -6b = 0 Solving -8a3 + 16a3b + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. -8a3 + 16a3b + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 -8a3 + 16a3b + 0 = 0 + 6b -8a3 + 16a3b = 0 + 6b Remove the zero: -8a3 + 16a3b = 6b Combine like terms: 6b + -6b = 0 -8a3 + 16a3b + -6b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4a3 + 8a3b + -3b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4a3 + 8a3b + -3b)' equal to zero and attempt to solve: Simplifying -4a3 + 8a3b + -3b = 0 Solving -4a3 + 8a3b + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -4a3 + 8a3b + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 -4a3 + 8a3b + 0 = 0 + 3b -4a3 + 8a3b = 0 + 3b Remove the zero: -4a3 + 8a3b = 3b 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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