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Simplifying 6a2b2 + -11a3b3 + 4a2b4 = 0 Reorder the terms: 6a2b2 + 4a2b4 + -11a3b3 = 0 Solving 6a2b2 + 4a2b4 + -11a3b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2b2'. a2b2(6 + 4b2 + -11ab) = 0Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 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 '(6 + 4b2 + -11ab)' equal to zero and attempt to solve: Simplifying 6 + 4b2 + -11ab = 0 Reorder the terms: 6 + -11ab + 4b2 = 0 Solving 6 + -11ab + 4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -11ab + -6 + 4b2 = 0 + -6 Reorder the terms: 6 + -6 + -11ab + 4b2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11ab + 4b2 = 0 + -6 -11ab + 4b2 = 0 + -6 Combine like terms: 0 + -6 = -6 -11ab + 4b2 = -6 Add '-4b2' to each side of the equation. -11ab + 4b2 + -4b2 = -6 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -11ab + 0 = -6 + -4b2 -11ab = -6 + -4b2 Divide each side by '-11b'. a = 0.5454545455b-1 + 0.3636363636b Simplifying a = 0.5454545455b-1 + 0.3636363636bSolution
a = {0.5454545455b-1 + 0.3636363636b}
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