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Simplifying 1.420x2 + -5.396x + 28.028 = 0 Reorder the terms: 28.028 + -5.396x + 1.420x2 = 0 Solving 28.028 + -5.396x + 1.420x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.420 the coefficient of the squared term: Divide each side by '1.420'. 19.73802817 + -3.8x + x2 = 0 Move the constant term to the right: Add '-19.73802817' to each side of the equation. 19.73802817 + -3.8x + -19.73802817 + x2 = 0 + -19.73802817 Reorder the terms: 19.73802817 + -19.73802817 + -3.8x + x2 = 0 + -19.73802817 Combine like terms: 19.73802817 + -19.73802817 = 0.00000000 0.00000000 + -3.8x + x2 = 0 + -19.73802817 -3.8x + x2 = 0 + -19.73802817 Combine like terms: 0 + -19.73802817 = -19.73802817 -3.8x + x2 = -19.73802817 The x term is -3.8x. Take half its coefficient (-1.9). Square it (3.61) and add it to both sides. Add '3.61' to each side of the equation. -3.8x + 3.61 + x2 = -19.73802817 + 3.61 Reorder the terms: 3.61 + -3.8x + x2 = -19.73802817 + 3.61 Combine like terms: -19.73802817 + 3.61 = -16.12802817 3.61 + -3.8x + x2 = -16.12802817 Factor a perfect square on the left side: (x + -1.9)(x + -1.9) = -16.12802817 Can't calculate square root of the right side. The solution to this equation could not be determined.
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