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Simplifying 0.5x2 + -1.8x + 9.058 = 0 Reorder the terms: 9.058 + -1.8x + 0.5x2 = 0 Solving 9.058 + -1.8x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 18.116 + -3.6x + x2 = 0 Move the constant term to the right: Add '-18.116' to each side of the equation. 18.116 + -3.6x + -18.116 + x2 = 0 + -18.116 Reorder the terms: 18.116 + -18.116 + -3.6x + x2 = 0 + -18.116 Combine like terms: 18.116 + -18.116 = 0.000 0.000 + -3.6x + x2 = 0 + -18.116 -3.6x + x2 = 0 + -18.116 Combine like terms: 0 + -18.116 = -18.116 -3.6x + x2 = -18.116 The x term is -3.6x. Take half its coefficient (-1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. -3.6x + 3.24 + x2 = -18.116 + 3.24 Reorder the terms: 3.24 + -3.6x + x2 = -18.116 + 3.24 Combine like terms: -18.116 + 3.24 = -14.876 3.24 + -3.6x + x2 = -14.876 Factor a perfect square on the left side: (x + -1.8)(x + -1.8) = -14.876 Can't calculate square root of the right side. The solution to this equation could not be determined.
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