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Simplifying 10a4 + 17a2 + 6 = 0 Reorder the terms: 6 + 17a2 + 10a4 = 0 Solving 6 + 17a2 + 10a4 = 0 Solving for variable 'a'. Factor a trinomial. (6 + 5a2)(1 + 2a2) = 0Subproblem 1
Set the factor '(6 + 5a2)' equal to zero and attempt to solve: Simplifying 6 + 5a2 = 0 Solving 6 + 5a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5a2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5a2 = 0 + -6 5a2 = 0 + -6 Combine like terms: 0 + -6 = -6 5a2 = -6 Divide each side by '5'. a2 = -1.2 Simplifying a2 = -1.2 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 '(1 + 2a2)' equal to zero and attempt to solve: Simplifying 1 + 2a2 = 0 Solving 1 + 2a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a2 = 0 + -1 2a2 = 0 + -1 Combine like terms: 0 + -1 = -1 2a2 = -1 Divide each side by '2'. a2 = -0.5 Simplifying a2 = -0.5 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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