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Simplifying 49x2 + 56x = -24 Reorder the terms: 56x + 49x2 = -24 Solving 56x + 49x2 = -24 Solving for variable 'x'. Reorder the terms: 24 + 56x + 49x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 56x + 49x2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.4897959184 + 1.142857143x + x2 = 0 Move the constant term to the right: Add '-0.4897959184' to each side of the equation. 0.4897959184 + 1.142857143x + -0.4897959184 + x2 = 0 + -0.4897959184 Reorder the terms: 0.4897959184 + -0.4897959184 + 1.142857143x + x2 = 0 + -0.4897959184 Combine like terms: 0.4897959184 + -0.4897959184 = 0.0000000000 0.0000000000 + 1.142857143x + x2 = 0 + -0.4897959184 1.142857143x + x2 = 0 + -0.4897959184 Combine like terms: 0 + -0.4897959184 = -0.4897959184 1.142857143x + x2 = -0.4897959184 The x term is 1.142857143x. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143x + 0.3265306123 + x2 = -0.4897959184 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143x + x2 = -0.4897959184 + 0.3265306123 Combine like terms: -0.4897959184 + 0.3265306123 = -0.1632653061 0.3265306123 + 1.142857143x + x2 = -0.1632653061 Factor a perfect square on the left side: (x + 0.5714285715)(x + 0.5714285715) = -0.1632653061 Can't calculate square root of the right side. The solution to this equation could not be determined.
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