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Simplifying 4x2 + -4x + 1 + -14(2X + -1) + 40 = 0 Reorder the terms: 4x2 + -4x + 1 + -14(-1 + 2X) + 40 = 0 4x2 + -4x + 1 + (-1 * -14 + 2X * -14) + 40 = 0 4x2 + -4x + 1 + (14 + -28X) + 40 = 0 Reorder the terms: 1 + 14 + 40 + -28X + -4x + 4x2 = 0 Combine like terms: 1 + 14 = 15 15 + 40 + -28X + -4x + 4x2 = 0 Combine like terms: 15 + 40 = 55 55 + -28X + -4x + 4x2 = 0 Solving 55 + -28X + -4x + 4x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -28X + -4x + -55 + 4x2 = 0 + -55 Reorder the terms: 55 + -55 + -28X + -4x + 4x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -28X + -4x + 4x2 = 0 + -55 -28X + -4x + 4x2 = 0 + -55 Combine like terms: 0 + -55 = -55 -28X + -4x + 4x2 = -55 Add '4x' to each side of the equation. -28X + -4x + 4x + 4x2 = -55 + 4x Combine like terms: -4x + 4x = 0 -28X + 0 + 4x2 = -55 + 4x -28X + 4x2 = -55 + 4x Add '-4x2' to each side of the equation. -28X + 4x2 + -4x2 = -55 + 4x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -28X + 0 = -55 + 4x + -4x2 -28X = -55 + 4x + -4x2 Divide each side by '-28'. X = 1.964285714 + -0.1428571429x + 0.1428571429x2 Simplifying X = 1.964285714 + -0.1428571429x + 0.1428571429x2
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