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Simplifying 3x2 + -41x + 192 = 0 Reorder the terms: 192 + -41x + 3x2 = 0 Solving 192 + -41x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 64 + -13.66666667x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -13.66666667x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -13.66666667x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -13.66666667x + x2 = 0 + -64 -13.66666667x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -13.66666667x + x2 = -64 The x term is -13.66666667x. Take half its coefficient (-6.833333335). Square it (46.69444447) and add it to both sides. Add '46.69444447' to each side of the equation. -13.66666667x + 46.69444447 + x2 = -64 + 46.69444447 Reorder the terms: 46.69444447 + -13.66666667x + x2 = -64 + 46.69444447 Combine like terms: -64 + 46.69444447 = -17.30555553 46.69444447 + -13.66666667x + x2 = -17.30555553 Factor a perfect square on the left side: (x + -6.833333335)(x + -6.833333335) = -17.30555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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