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Simplifying 12x2 + 12(x + 1) = -1x Reorder the terms: 12x2 + 12(1 + x) = -1x 12x2 + (1 * 12 + x * 12) = -1x 12x2 + (12 + 12x) = -1x Reorder the terms: 12 + 12x + 12x2 = -1x Solving 12 + 12x + 12x2 = -1x Solving for variable 'x'. Reorder the terms: 12 + 12x + x + 12x2 = -1x + x Combine like terms: 12x + x = 13x 12 + 13x + 12x2 = -1x + x Combine like terms: -1x + x = 0 12 + 13x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1 + 1.083333333x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.083333333x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.083333333x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.083333333x + x2 = 0 + -1 1.083333333x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.083333333x + x2 = -1 The x term is 1.083333333x. Take half its coefficient (0.5416666665). Square it (0.2934027776) and add it to both sides. Add '0.2934027776' to each side of the equation. 1.083333333x + 0.2934027776 + x2 = -1 + 0.2934027776 Reorder the terms: 0.2934027776 + 1.083333333x + x2 = -1 + 0.2934027776 Combine like terms: -1 + 0.2934027776 = -0.7065972224 0.2934027776 + 1.083333333x + x2 = -0.7065972224 Factor a perfect square on the left side: (x + 0.5416666665)(x + 0.5416666665) = -0.7065972224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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