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Simplifying 40X3 + 12X2 + -9X + 14DX = 0 Reorder the terms: 14DX + -9X + 12X2 + 40X3 = 0 Solving 14DX + -9X + 12X2 + 40X3 = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '9X' to each side of the equation. 14DX + -9X + 12X2 + 9X + 40X3 = 0 + 9X Reorder the terms: 14DX + -9X + 9X + 12X2 + 40X3 = 0 + 9X Combine like terms: -9X + 9X = 0 14DX + 0 + 12X2 + 40X3 = 0 + 9X 14DX + 12X2 + 40X3 = 0 + 9X Remove the zero: 14DX + 12X2 + 40X3 = 9X Add '-12X2' to each side of the equation. 14DX + 12X2 + -12X2 + 40X3 = 9X + -12X2 Combine like terms: 12X2 + -12X2 = 0 14DX + 0 + 40X3 = 9X + -12X2 14DX + 40X3 = 9X + -12X2 Add '-40X3' to each side of the equation. 14DX + 40X3 + -40X3 = 9X + -12X2 + -40X3 Combine like terms: 40X3 + -40X3 = 0 14DX + 0 = 9X + -12X2 + -40X3 14DX = 9X + -12X2 + -40X3 Divide each side by '14X'. D = 0.6428571429 + -0.8571428571X + -2.857142857X2 Simplifying D = 0.6428571429 + -0.8571428571X + -2.857142857X2
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