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Simplifying 7x2 + 8x + 112 = 0 Reorder the terms: 112 + 8x + 7x2 = 0 Solving 112 + 8x + 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'. 16 + 1.142857143x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + 1.142857143x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 1.142857143x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1.142857143x + x2 = 0 + -16 1.142857143x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 1.142857143x + x2 = -16 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 = -16 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143x + x2 = -16 + 0.3265306123 Combine like terms: -16 + 0.3265306123 = -15.6734693877 0.3265306123 + 1.142857143x + x2 = -15.6734693877 Factor a perfect square on the left side: (x + 0.5714285715)(x + 0.5714285715) = -15.6734693877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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