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Simplifying 12x2 + 7x + 14 = 0 Reorder the terms: 14 + 7x + 12x2 = 0 Solving 14 + 7x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.166666667 + 0.5833333333x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 0.5833333333x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 0.5833333333x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 0.5833333333x + x2 = 0 + -1.166666667 0.5833333333x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 0.5833333333x + x2 = -1.166666667 The x term is 0.5833333333x. Take half its coefficient (0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. 0.5833333333x + 0.08506944446 + x2 = -1.166666667 + 0.08506944446 Reorder the terms: 0.08506944446 + 0.5833333333x + x2 = -1.166666667 + 0.08506944446 Combine like terms: -1.166666667 + 0.08506944446 = -1.08159722254 0.08506944446 + 0.5833333333x + x2 = -1.08159722254 Factor a perfect square on the left side: (x + 0.2916666667)(x + 0.2916666667) = -1.08159722254 Can't calculate square root of the right side. The solution to this equation could not be determined.
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