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Simplifying (a4b3 + -3a2b4 + 2) + -1(2a4b3 + -3a2b4 + -4) = 0 Reorder the terms: (2 + -3a2b4 + a4b3) + -1(2a4b3 + -3a2b4 + -4) = 0 Remove parenthesis around (2 + -3a2b4 + a4b3) 2 + -3a2b4 + a4b3 + -1(2a4b3 + -3a2b4 + -4) = 0 Reorder the terms: 2 + -3a2b4 + a4b3 + -1(-4 + -3a2b4 + 2a4b3) = 0 2 + -3a2b4 + a4b3 + (-4 * -1 + -3a2b4 * -1 + 2a4b3 * -1) = 0 2 + -3a2b4 + a4b3 + (4 + 3a2b4 + -2a4b3) = 0 Reorder the terms: 2 + 4 + -3a2b4 + 3a2b4 + a4b3 + -2a4b3 = 0 Combine like terms: 2 + 4 = 6 6 + -3a2b4 + 3a2b4 + a4b3 + -2a4b3 = 0 Combine like terms: -3a2b4 + 3a2b4 = 0 6 + 0 + a4b3 + -2a4b3 = 0 6 + a4b3 + -2a4b3 = 0 Combine like terms: a4b3 + -2a4b3 = -1a4b3 6 + -1a4b3 = 0 Solving 6 + -1a4b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1a4b3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a4b3 = 0 + -6 -1a4b3 = 0 + -6 Combine like terms: 0 + -6 = -6 -1a4b3 = -6 Divide each side by '-1b3'. a4 = 6b-3 Simplifying a4 = 6b-3 Combine like terms: 6b-3 + -6b-3 = 0 a4 + -6b-3 = 0 Factor out the Greatest Common Factor (GCF), 'b-3'. b-3(a4b3 + -6) = 0Subproblem 1
Set the factor 'b-3' equal to zero and attempt to solve: Simplifying b-3 = 0 Solving b-3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-3' to each side of the equation. b-3 + -1b-3 = 0 + -1b-3 Remove the zero: 0 = -1b-3 Simplifying 0 = -1b-3 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 '(a4b3 + -6)' equal to zero and attempt to solve: Simplifying a4b3 + -6 = 0 Reorder the terms: -6 + a4b3 = 0 Solving -6 + a4b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + a4b3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + a4b3 = 0 + 6 a4b3 = 0 + 6 Combine like terms: 0 + 6 = 6 a4b3 = 6 Divide each side by 'b3'. a4 = 6b-3 Simplifying a4 = 6b-3 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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