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Simplifying 5.6x2 + 40x + 400 = 0 Reorder the terms: 400 + 40x + 5.6x2 = 0 Solving 400 + 40x + 5.6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5.6 the coefficient of the squared term: Divide each side by '5.6'. 71.42857143 + 7.142857143x + x2 = 0 Move the constant term to the right: Add '-71.42857143' to each side of the equation. 71.42857143 + 7.142857143x + -71.42857143 + x2 = 0 + -71.42857143 Reorder the terms: 71.42857143 + -71.42857143 + 7.142857143x + x2 = 0 + -71.42857143 Combine like terms: 71.42857143 + -71.42857143 = 0.00000000 0.00000000 + 7.142857143x + x2 = 0 + -71.42857143 7.142857143x + x2 = 0 + -71.42857143 Combine like terms: 0 + -71.42857143 = -71.42857143 7.142857143x + x2 = -71.42857143 The x term is 7.142857143x. Take half its coefficient (3.571428572). Square it (12.75510204) and add it to both sides. Add '12.75510204' to each side of the equation. 7.142857143x + 12.75510204 + x2 = -71.42857143 + 12.75510204 Reorder the terms: 12.75510204 + 7.142857143x + x2 = -71.42857143 + 12.75510204 Combine like terms: -71.42857143 + 12.75510204 = -58.67346939 12.75510204 + 7.142857143x + x2 = -58.67346939 Factor a perfect square on the left side: (x + 3.571428572)(x + 3.571428572) = -58.67346939 Can't calculate square root of the right side. The solution to this equation could not be determined.
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