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Simplifying x(2.4184 + -1x) = 1.9383 (2.4184 * x + -1x * x) = 1.9383 (2.4184x + -1x2) = 1.9383 Solving 2.4184x + -1x2 = 1.9383 Solving for variable 'x'. Reorder the terms: -1.9383 + 2.4184x + -1x2 = 1.9383 + -1.9383 Combine like terms: 1.9383 + -1.9383 = 0.0000 -1.9383 + 2.4184x + -1x2 = 0.0000 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1.9383 + -2.4184x + x2 = 0.0000 Move the constant term to the right: Add '-1.9383' to each side of the equation. 1.9383 + -2.4184x + -1.9383 + x2 = 0.0000 + -1.9383 Reorder the terms: 1.9383 + -1.9383 + -2.4184x + x2 = 0.0000 + -1.9383 Combine like terms: 1.9383 + -1.9383 = 0.0000 0.0000 + -2.4184x + x2 = 0.0000 + -1.9383 -2.4184x + x2 = 0.0000 + -1.9383 Combine like terms: 0.0000 + -1.9383 = -1.9383 -2.4184x + x2 = -1.9383 The x term is -2.4184x. Take half its coefficient (-1.2092). Square it (1.46216464) and add it to both sides. Add '1.46216464' to each side of the equation. -2.4184x + 1.46216464 + x2 = -1.9383 + 1.46216464 Reorder the terms: 1.46216464 + -2.4184x + x2 = -1.9383 + 1.46216464 Combine like terms: -1.9383 + 1.46216464 = -0.47613536 1.46216464 + -2.4184x + x2 = -0.47613536 Factor a perfect square on the left side: (x + -1.2092)(x + -1.2092) = -0.47613536 Can't calculate square root of the right side. The solution to this equation could not be determined.
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