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Simplifying 4x + -7 = -2.47x2 + 6x + -450 Reorder the terms: -7 + 4x = -2.47x2 + 6x + -450 Reorder the terms: -7 + 4x = -450 + 6x + -2.47x2 Solving -7 + 4x = -450 + 6x + -2.47x2 Solving for variable 'x'. Reorder the terms: -7 + 450 + 4x + -6x + 2.47x2 = -450 + 6x + -2.47x2 + 450 + -6x + 2.47x2 Combine like terms: -7 + 450 = 443 443 + 4x + -6x + 2.47x2 = -450 + 6x + -2.47x2 + 450 + -6x + 2.47x2 Combine like terms: 4x + -6x = -2x 443 + -2x + 2.47x2 = -450 + 6x + -2.47x2 + 450 + -6x + 2.47x2 Reorder the terms: 443 + -2x + 2.47x2 = -450 + 450 + 6x + -6x + -2.47x2 + 2.47x2 Combine like terms: -450 + 450 = 0 443 + -2x + 2.47x2 = 0 + 6x + -6x + -2.47x2 + 2.47x2 443 + -2x + 2.47x2 = 6x + -6x + -2.47x2 + 2.47x2 Combine like terms: 6x + -6x = 0 443 + -2x + 2.47x2 = 0 + -2.47x2 + 2.47x2 443 + -2x + 2.47x2 = -2.47x2 + 2.47x2 Combine like terms: -2.47x2 + 2.47x2 = 0.00 443 + -2x + 2.47x2 = 0.00 Begin completing the square. Divide all terms by 2.47 the coefficient of the squared term: Divide each side by '2.47'. 179.3522267 + -0.8097165992x + x2 = 0 Move the constant term to the right: Add '-179.3522267' to each side of the equation. 179.3522267 + -0.8097165992x + -179.3522267 + x2 = 0 + -179.3522267 Reorder the terms: 179.3522267 + -179.3522267 + -0.8097165992x + x2 = 0 + -179.3522267 Combine like terms: 179.3522267 + -179.3522267 = 0.0000000 0.0000000 + -0.8097165992x + x2 = 0 + -179.3522267 -0.8097165992x + x2 = 0 + -179.3522267 Combine like terms: 0 + -179.3522267 = -179.3522267 -0.8097165992x + x2 = -179.3522267 The x term is -0.8097165992x. Take half its coefficient (-0.4048582996). Square it (0.1639102428) and add it to both sides. Add '0.1639102428' to each side of the equation. -0.8097165992x + 0.1639102428 + x2 = -179.3522267 + 0.1639102428 Reorder the terms: 0.1639102428 + -0.8097165992x + x2 = -179.3522267 + 0.1639102428 Combine like terms: -179.3522267 + 0.1639102428 = -179.1883164572 0.1639102428 + -0.8097165992x + x2 = -179.1883164572 Factor a perfect square on the left side: (x + -0.4048582996)(x + -0.4048582996) = -179.1883164572 Can't calculate square root of the right side. The solution to this equation could not be determined.
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