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Simplifying 12a7b3 + -15a3b4 + 3a3b2 = 0 Reorder the terms: 3a3b2 + -15a3b4 + 12a7b3 = 0 Solving 3a3b2 + -15a3b4 + 12a7b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a3b2'. 3a3b2(1 + -5b2 + 4a4b) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a3b2' equal to zero and attempt to solve: Simplifying a3b2 = 0 Solving a3b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b2 = 0 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 '(1 + -5b2 + 4a4b)' equal to zero and attempt to solve: Simplifying 1 + -5b2 + 4a4b = 0 Reorder the terms: 1 + 4a4b + -5b2 = 0 Solving 1 + 4a4b + -5b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4a4b + -1 + -5b2 = 0 + -1 Reorder the terms: 1 + -1 + 4a4b + -5b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a4b + -5b2 = 0 + -1 4a4b + -5b2 = 0 + -1 Combine like terms: 0 + -1 = -1 4a4b + -5b2 = -1 Add '5b2' to each side of the equation. 4a4b + -5b2 + 5b2 = -1 + 5b2 Combine like terms: -5b2 + 5b2 = 0 4a4b + 0 = -1 + 5b2 4a4b = -1 + 5b2 Divide each side by '4b'. a4 = -0.25b-1 + 1.25b Simplifying a4 = -0.25b-1 + 1.25b 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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