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Simplifying x4 + ax2 + 1 = 0 Reorder the terms: 1 + ax2 + x4 = 0 Solving 1 + ax2 + x4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ax2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + ax2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ax2 + x4 = 0 + -1 ax2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 ax2 + x4 = -1 Add '-1x4' to each side of the equation. ax2 + x4 + -1x4 = -1 + -1x4 Combine like terms: x4 + -1x4 = 0 ax2 + 0 = -1 + -1x4 ax2 = -1 + -1x4 Divide each side by 'x2'. a = -1x-2 + -1x2 Simplifying a = -1x-2 + -1x2
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