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Simplifying 4a4 + -13a2b3 + 3b6 = 0 Reorder the terms: -13a2b3 + 4a4 + 3b6 = 0 Solving -13a2b3 + 4a4 + 3b6 = 0 Solving for variable 'a'. Factor a trinomial. (a2 + -3b3)(4a2 + -1b3) = 0Subproblem 1
Set the factor '(a2 + -3b3)' equal to zero and attempt to solve: Simplifying a2 + -3b3 = 0 Solving a2 + -3b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '3b3' to each side of the equation. a2 + -3b3 + 3b3 = 0 + 3b3 Combine like terms: -3b3 + 3b3 = 0 a2 + 0 = 0 + 3b3 a2 = 0 + 3b3 Remove the zero: a2 = 3b3 Simplifying a2 = 3b3 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 '(4a2 + -1b3)' equal to zero and attempt to solve: Simplifying 4a2 + -1b3 = 0 Solving 4a2 + -1b3 = 0 Move all terms containing a to the left, all other terms to the right. Add 'b3' to each side of the equation. 4a2 + -1b3 + b3 = 0 + b3 Combine like terms: -1b3 + b3 = 0 4a2 + 0 = 0 + b3 4a2 = 0 + b3 Remove the zero: 4a2 = b3 Divide each side by '4'. a2 = 0.25b3 Simplifying a2 = 0.25b3 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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