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Simplifying x4 + 4x3 + 6x2 + -4X + 1 = 0 Reorder the terms: 1 + -4X + 6x2 + 4x3 + x4 = 0 Solving 1 + -4X + 6x2 + 4x3 + x4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4X + 6x2 + 4x3 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -4X + 6x2 + 4x3 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4X + 6x2 + 4x3 + x4 = 0 + -1 -4X + 6x2 + 4x3 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -4X + 6x2 + 4x3 + x4 = -1 Add '-6x2' to each side of the equation. -4X + 6x2 + 4x3 + -6x2 + x4 = -1 + -6x2 Reorder the terms: -4X + 6x2 + -6x2 + 4x3 + x4 = -1 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4X + 0 + 4x3 + x4 = -1 + -6x2 -4X + 4x3 + x4 = -1 + -6x2 Add '-4x3' to each side of the equation. -4X + 4x3 + -4x3 + x4 = -1 + -6x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -4X + 0 + x4 = -1 + -6x2 + -4x3 -4X + x4 = -1 + -6x2 + -4x3 Add '-1x4' to each side of the equation. -4X + x4 + -1x4 = -1 + -6x2 + -4x3 + -1x4 Combine like terms: x4 + -1x4 = 0 -4X + 0 = -1 + -6x2 + -4x3 + -1x4 -4X = -1 + -6x2 + -4x3 + -1x4 Divide each side by '-4'. X = 0.25 + 1.5x2 + x3 + 0.25x4 Simplifying X = 0.25 + 1.5x2 + x3 + 0.25x4
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