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Simplifying x4 + 8x3 + -16x2 + -8X + 1 = 0 Reorder the terms: 1 + -8X + -16x2 + 8x3 + x4 = 0 Solving 1 + -8X + -16x2 + 8x3 + 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 + -8X + -16x2 + 8x3 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -8X + -16x2 + 8x3 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8X + -16x2 + 8x3 + x4 = 0 + -1 -8X + -16x2 + 8x3 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -8X + -16x2 + 8x3 + x4 = -1 Add '16x2' to each side of the equation. -8X + -16x2 + 8x3 + 16x2 + x4 = -1 + 16x2 Reorder the terms: -8X + -16x2 + 16x2 + 8x3 + x4 = -1 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -8X + 0 + 8x3 + x4 = -1 + 16x2 -8X + 8x3 + x4 = -1 + 16x2 Add '-8x3' to each side of the equation. -8X + 8x3 + -8x3 + x4 = -1 + 16x2 + -8x3 Combine like terms: 8x3 + -8x3 = 0 -8X + 0 + x4 = -1 + 16x2 + -8x3 -8X + x4 = -1 + 16x2 + -8x3 Add '-1x4' to each side of the equation. -8X + x4 + -1x4 = -1 + 16x2 + -8x3 + -1x4 Combine like terms: x4 + -1x4 = 0 -8X + 0 = -1 + 16x2 + -8x3 + -1x4 -8X = -1 + 16x2 + -8x3 + -1x4 Divide each side by '-8'. X = 0.125 + -2x2 + x3 + 0.125x4 Simplifying X = 0.125 + -2x2 + x3 + 0.125x4
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