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Simplifying 16a4 + 8a2b2 + b4 = 0 Reorder the terms: 8a2b2 + 16a4 + b4 = 0 Solving 8a2b2 + 16a4 + b4 = 0 Solving for variable 'a'. Factor a trinomial. (4a2 + b2)(4a2 + b2) = 0Subproblem 1
Set the factor '(4a2 + b2)' equal to zero and attempt to solve: Simplifying 4a2 + b2 = 0 Solving 4a2 + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. 4a2 + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 4a2 + 0 = 0 + -1b2 4a2 = 0 + -1b2 Remove the zero: 4a2 = -1b2 Divide each side by '4'. a2 = -0.25b2 Simplifying a2 = -0.25b2 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 + b2)' equal to zero and attempt to solve: Simplifying 4a2 + b2 = 0 Solving 4a2 + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. 4a2 + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 4a2 + 0 = 0 + -1b2 4a2 = 0 + -1b2 Remove the zero: 4a2 = -1b2 Divide each side by '4'. a2 = -0.25b2 Simplifying a2 = -0.25b2 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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