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Simplifying 7x2 + x + 12 = 0 Reorder the terms: 12 + x + 7x2 = 0 Solving 12 + x + 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'. 1.714285714 + 0.1428571429x + x2 = 0 Move the constant term to the right: Add '-1.714285714' to each side of the equation. 1.714285714 + 0.1428571429x + -1.714285714 + x2 = 0 + -1.714285714 Reorder the terms: 1.714285714 + -1.714285714 + 0.1428571429x + x2 = 0 + -1.714285714 Combine like terms: 1.714285714 + -1.714285714 = 0.000000000 0.000000000 + 0.1428571429x + x2 = 0 + -1.714285714 0.1428571429x + x2 = 0 + -1.714285714 Combine like terms: 0 + -1.714285714 = -1.714285714 0.1428571429x + x2 = -1.714285714 The x term is x. 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. 0.1428571429x + 0.25 + x2 = -1.714285714 + 0.25 Reorder the terms: 0.25 + 0.1428571429x + x2 = -1.714285714 + 0.25 Combine like terms: -1.714285714 + 0.25 = -1.464285714 0.25 + 0.1428571429x + x2 = -1.464285714 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.464285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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