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Simplifying 4a4 + 12a2b2 + 9b4 = 0 Reorder the terms: 12a2b2 + 4a4 + 9b4 = 0 Solving 12a2b2 + 4a4 + 9b4 = 0 Solving for variable 'a'. Factor a trinomial. (2a2 + 3b2)(2a2 + 3b2) = 0Subproblem 1
Set the factor '(2a2 + 3b2)' equal to zero and attempt to solve: Simplifying 2a2 + 3b2 = 0 Solving 2a2 + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. 2a2 + 3b2 + -3b2 = 0 + -3b2 Combine like terms: 3b2 + -3b2 = 0 2a2 + 0 = 0 + -3b2 2a2 = 0 + -3b2 Remove the zero: 2a2 = -3b2 Divide each side by '2'. a2 = -1.5b2 Simplifying a2 = -1.5b2 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 '(2a2 + 3b2)' equal to zero and attempt to solve: Simplifying 2a2 + 3b2 = 0 Solving 2a2 + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. 2a2 + 3b2 + -3b2 = 0 + -3b2 Combine like terms: 3b2 + -3b2 = 0 2a2 + 0 = 0 + -3b2 2a2 = 0 + -3b2 Remove the zero: 2a2 = -3b2 Divide each side by '2'. a2 = -1.5b2 Simplifying a2 = -1.5b2 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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