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Simplifying 3x2 + 26x + 205 = 0 Reorder the terms: 205 + 26x + 3x2 = 0 Solving 205 + 26x + 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'. 68.33333333 + 8.666666667x + x2 = 0 Move the constant term to the right: Add '-68.33333333' to each side of the equation. 68.33333333 + 8.666666667x + -68.33333333 + x2 = 0 + -68.33333333 Reorder the terms: 68.33333333 + -68.33333333 + 8.666666667x + x2 = 0 + -68.33333333 Combine like terms: 68.33333333 + -68.33333333 = 0.00000000 0.00000000 + 8.666666667x + x2 = 0 + -68.33333333 8.666666667x + x2 = 0 + -68.33333333 Combine like terms: 0 + -68.33333333 = -68.33333333 8.666666667x + x2 = -68.33333333 The x term is 8.666666667x. Take half its coefficient (4.333333334). Square it (18.77777778) and add it to both sides. Add '18.77777778' to each side of the equation. 8.666666667x + 18.77777778 + x2 = -68.33333333 + 18.77777778 Reorder the terms: 18.77777778 + 8.666666667x + x2 = -68.33333333 + 18.77777778 Combine like terms: -68.33333333 + 18.77777778 = -49.55555555 18.77777778 + 8.666666667x + x2 = -49.55555555 Factor a perfect square on the left side: (x + 4.333333334)(x + 4.333333334) = -49.55555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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