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Simplifying 9x2 + -30x + 55 = 0 Reorder the terms: 55 + -30x + 9x2 = 0 Solving 55 + -30x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 6.111111111 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-6.111111111' to each side of the equation. 6.111111111 + -3.333333333x + -6.111111111 + x2 = 0 + -6.111111111 Reorder the terms: 6.111111111 + -6.111111111 + -3.333333333x + x2 = 0 + -6.111111111 Combine like terms: 6.111111111 + -6.111111111 = 0.000000000 0.000000000 + -3.333333333x + x2 = 0 + -6.111111111 -3.333333333x + x2 = 0 + -6.111111111 Combine like terms: 0 + -6.111111111 = -6.111111111 -3.333333333x + x2 = -6.111111111 The x term is -3.333333333x. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333x + 2.777777779 + x2 = -6.111111111 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -6.111111111 + 2.777777779 Combine like terms: -6.111111111 + 2.777777779 = -3.333333332 2.777777779 + -3.333333333x + x2 = -3.333333332 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -3.333333332 Can't calculate square root of the right side. The solution to this equation could not be determined.
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