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Simplifying 2x + -7x2 + 5x + -24 = 0 Reorder the terms: -24 + 2x + 5x + -7x2 = 0 Combine like terms: 2x + 5x = 7x -24 + 7x + -7x2 = 0 Solving -24 + 7x + -7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 3.428571429 + -1x + x2 = 0 Move the constant term to the right: Add '-3.428571429' to each side of the equation. 3.428571429 + -1x + -3.428571429 + x2 = 0 + -3.428571429 Reorder the terms: 3.428571429 + -3.428571429 + -1x + x2 = 0 + -3.428571429 Combine like terms: 3.428571429 + -3.428571429 = 0.000000000 0.000000000 + -1x + x2 = 0 + -3.428571429 -1x + x2 = 0 + -3.428571429 Combine like terms: 0 + -3.428571429 = -3.428571429 -1x + x2 = -3.428571429 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -3.428571429 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -3.428571429 + 0.25 Combine like terms: -3.428571429 + 0.25 = -3.178571429 0.25 + -1x + x2 = -3.178571429 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -3.178571429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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