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Simplifying 7x2 + 44x + 80 = 0 Reorder the terms: 80 + 44x + 7x2 = 0 Solving 80 + 44x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 11.42857143 + 6.285714286x + x2 = 0 Move the constant term to the right: Add '-11.42857143' to each side of the equation. 11.42857143 + 6.285714286x + -11.42857143 + x2 = 0 + -11.42857143 Reorder the terms: 11.42857143 + -11.42857143 + 6.285714286x + x2 = 0 + -11.42857143 Combine like terms: 11.42857143 + -11.42857143 = 0.00000000 0.00000000 + 6.285714286x + x2 = 0 + -11.42857143 6.285714286x + x2 = 0 + -11.42857143 Combine like terms: 0 + -11.42857143 = -11.42857143 6.285714286x + x2 = -11.42857143 The x term is 6.285714286x. Take half its coefficient (3.142857143). Square it (9.877551021) and add it to both sides. Add '9.877551021' to each side of the equation. 6.285714286x + 9.877551021 + x2 = -11.42857143 + 9.877551021 Reorder the terms: 9.877551021 + 6.285714286x + x2 = -11.42857143 + 9.877551021 Combine like terms: -11.42857143 + 9.877551021 = -1.551020409 9.877551021 + 6.285714286x + x2 = -1.551020409 Factor a perfect square on the left side: (x + 3.142857143)(x + 3.142857143) = -1.551020409 Can't calculate square root of the right side. The solution to this equation could not be determined.
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