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Simplifying x4 + 4x2 + 12x + a = 0 Reorder the terms: a + 12x + 4x2 + x4 = 0 Solving a + 12x + 4x2 + x4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12x' to each side of the equation. a + 12x + 4x2 + -12x + x4 = 0 + -12x Reorder the terms: a + 12x + -12x + 4x2 + x4 = 0 + -12x Combine like terms: 12x + -12x = 0 a + 0 + 4x2 + x4 = 0 + -12x a + 4x2 + x4 = 0 + -12x Remove the zero: a + 4x2 + x4 = -12x Add '-4x2' to each side of the equation. a + 4x2 + -4x2 + x4 = -12x + -4x2 Combine like terms: 4x2 + -4x2 = 0 a + 0 + x4 = -12x + -4x2 a + x4 = -12x + -4x2 Add '-1x4' to each side of the equation. a + x4 + -1x4 = -12x + -4x2 + -1x4 Combine like terms: x4 + -1x4 = 0 a + 0 = -12x + -4x2 + -1x4 a = -12x + -4x2 + -1x4 Simplifying a = -12x + -4x2 + -1x4
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