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Simplifying x4 + -8x3 + 18x2 + -120X + 45 = 0 Reorder the terms: 45 + -120X + 18x2 + -8x3 + x4 = 0 Solving 45 + -120X + 18x2 + -8x3 + x4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -120X + 18x2 + -8x3 + -45 + x4 = 0 + -45 Reorder the terms: 45 + -45 + -120X + 18x2 + -8x3 + x4 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -120X + 18x2 + -8x3 + x4 = 0 + -45 -120X + 18x2 + -8x3 + x4 = 0 + -45 Combine like terms: 0 + -45 = -45 -120X + 18x2 + -8x3 + x4 = -45 Add '-18x2' to each side of the equation. -120X + 18x2 + -8x3 + -18x2 + x4 = -45 + -18x2 Reorder the terms: -120X + 18x2 + -18x2 + -8x3 + x4 = -45 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -120X + 0 + -8x3 + x4 = -45 + -18x2 -120X + -8x3 + x4 = -45 + -18x2 Add '8x3' to each side of the equation. -120X + -8x3 + 8x3 + x4 = -45 + -18x2 + 8x3 Combine like terms: -8x3 + 8x3 = 0 -120X + 0 + x4 = -45 + -18x2 + 8x3 -120X + x4 = -45 + -18x2 + 8x3 Add '-1x4' to each side of the equation. -120X + x4 + -1x4 = -45 + -18x2 + 8x3 + -1x4 Combine like terms: x4 + -1x4 = 0 -120X + 0 = -45 + -18x2 + 8x3 + -1x4 -120X = -45 + -18x2 + 8x3 + -1x4 Divide each side by '-120'. X = 0.375 + 0.15x2 + -0.06666666667x3 + 0.008333333333x4 Simplifying X = 0.375 + 0.15x2 + -0.06666666667x3 + 0.008333333333x4
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