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Simplifying x6 + 5ax5 + 3x4 + 1 = 0 Reorder the terms: 1 + 5ax5 + 3x4 + x6 = 0 Solving 1 + 5ax5 + 3x4 + x6 = 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 + 5ax5 + 3x4 + -1 + x6 = 0 + -1 Reorder the terms: 1 + -1 + 5ax5 + 3x4 + x6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5ax5 + 3x4 + x6 = 0 + -1 5ax5 + 3x4 + x6 = 0 + -1 Combine like terms: 0 + -1 = -1 5ax5 + 3x4 + x6 = -1 Add '-3x4' to each side of the equation. 5ax5 + 3x4 + -3x4 + x6 = -1 + -3x4 Combine like terms: 3x4 + -3x4 = 0 5ax5 + 0 + x6 = -1 + -3x4 5ax5 + x6 = -1 + -3x4 Add '-1x6' to each side of the equation. 5ax5 + x6 + -1x6 = -1 + -3x4 + -1x6 Combine like terms: x6 + -1x6 = 0 5ax5 + 0 = -1 + -3x4 + -1x6 5ax5 = -1 + -3x4 + -1x6 Divide each side by '5x5'. a = -0.2x-5 + -0.6x-1 + -0.2x Simplifying a = -0.2x-5 + -0.6x-1 + -0.2x
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