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Simplifying 8a4 + 7a2b + -1b2 = 0 Reorder the terms: 7a2b + 8a4 + -1b2 = 0 Solving 7a2b + 8a4 + -1b2 = 0 Solving for variable 'a'. Factor a trinomial. (8a2 + -1b)(a2 + b) = 0Subproblem 1
Set the factor '(8a2 + -1b)' equal to zero and attempt to solve: Simplifying 8a2 + -1b = 0 Solving 8a2 + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 8a2 + -1b + b = 0 + b Combine like terms: -1b + b = 0 8a2 + 0 = 0 + b 8a2 = 0 + b Remove the zero: 8a2 = b Divide each side by '8'. a2 = 0.125b Simplifying a2 = 0.125b 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 '(a2 + b)' equal to zero and attempt to solve: Simplifying a2 + b = 0 Solving a2 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a2 + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a2 + 0 = 0 + -1b a2 = 0 + -1b Remove the zero: a2 = -1b Simplifying a2 = -1b 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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