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Simplifying 0.33333x2 + 1x + 1 = 0 Reorder the terms: 1 + 1x + 0.33333x2 = 0 Solving 1 + 1x + 0.33333x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.33333 the coefficient of the squared term: Divide each side by '0.33333'. 3.00003 + 3.00003x + x2 = 0 Move the constant term to the right: Add '-3.00003' to each side of the equation. 3.00003 + 3.00003x + -3.00003 + x2 = 0 + -3.00003 Reorder the terms: 3.00003 + -3.00003 + 3.00003x + x2 = 0 + -3.00003 Combine like terms: 3.00003 + -3.00003 = 0.00000 0.00000 + 3.00003x + x2 = 0 + -3.00003 3.00003x + x2 = 0 + -3.00003 Combine like terms: 0 + -3.00003 = -3.00003 3.00003x + x2 = -3.00003 The x term is 3.00003x. Take half its coefficient (1.500015). Square it (2.250045000) and add it to both sides. Add '2.250045000' to each side of the equation. 3.00003x + 2.250045000 + x2 = -3.00003 + 2.250045000 Reorder the terms: 2.250045000 + 3.00003x + x2 = -3.00003 + 2.250045000 Combine like terms: -3.00003 + 2.250045000 = -0.749985 2.250045000 + 3.00003x + x2 = -0.749985 Factor a perfect square on the left side: (x + 1.500015)(x + 1.500015) = -0.749985 Can't calculate square root of the right side. The solution to this equation could not be determined.
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