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Simplifying 35x2 + -22x + 11 = 0 Reorder the terms: 11 + -22x + 35x2 = 0 Solving 11 + -22x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.3142857143 + -0.6285714286x + x2 = 0 Move the constant term to the right: Add '-0.3142857143' to each side of the equation. 0.3142857143 + -0.6285714286x + -0.3142857143 + x2 = 0 + -0.3142857143 Reorder the terms: 0.3142857143 + -0.3142857143 + -0.6285714286x + x2 = 0 + -0.3142857143 Combine like terms: 0.3142857143 + -0.3142857143 = 0.0000000000 0.0000000000 + -0.6285714286x + x2 = 0 + -0.3142857143 -0.6285714286x + x2 = 0 + -0.3142857143 Combine like terms: 0 + -0.3142857143 = -0.3142857143 -0.6285714286x + x2 = -0.3142857143 The x term is -0.6285714286x. Take half its coefficient (-0.3142857143). Square it (0.09877551021) and add it to both sides. Add '0.09877551021' to each side of the equation. -0.6285714286x + 0.09877551021 + x2 = -0.3142857143 + 0.09877551021 Reorder the terms: 0.09877551021 + -0.6285714286x + x2 = -0.3142857143 + 0.09877551021 Combine like terms: -0.3142857143 + 0.09877551021 = -0.21551020409 0.09877551021 + -0.6285714286x + x2 = -0.21551020409 Factor a perfect square on the left side: (x + -0.3142857143)(x + -0.3142857143) = -0.21551020409 Can't calculate square root of the right side. The solution to this equation could not be determined.
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