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Simplifying 12x2 + 19x + 21 = 0 Reorder the terms: 21 + 19x + 12x2 = 0 Solving 21 + 19x + 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'. 1.75 + 1.583333333x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 1.583333333x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 1.583333333x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 1.583333333x + x2 = 0 + -1.75 1.583333333x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 1.583333333x + x2 = -1.75 The x term is 1.583333333x. Take half its coefficient (0.7916666665). Square it (0.6267361108) and add it to both sides. Add '0.6267361108' to each side of the equation. 1.583333333x + 0.6267361108 + x2 = -1.75 + 0.6267361108 Reorder the terms: 0.6267361108 + 1.583333333x + x2 = -1.75 + 0.6267361108 Combine like terms: -1.75 + 0.6267361108 = -1.1232638892 0.6267361108 + 1.583333333x + x2 = -1.1232638892 Factor a perfect square on the left side: (x + 0.7916666665)(x + 0.7916666665) = -1.1232638892 Can't calculate square root of the right side. The solution to this equation could not be determined.
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