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Simplifying 3x2 + 6x + 13 = 0 Reorder the terms: 13 + 6x + 3x2 = 0 Solving 13 + 6x + 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'. 4.333333333 + 2x + x2 = 0 Move the constant term to the right: Add '-4.333333333' to each side of the equation. 4.333333333 + 2x + -4.333333333 + x2 = 0 + -4.333333333 Reorder the terms: 4.333333333 + -4.333333333 + 2x + x2 = 0 + -4.333333333 Combine like terms: 4.333333333 + -4.333333333 = 0.000000000 0.000000000 + 2x + x2 = 0 + -4.333333333 2x + x2 = 0 + -4.333333333 Combine like terms: 0 + -4.333333333 = -4.333333333 2x + x2 = -4.333333333 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -4.333333333 + 1 Reorder the terms: 1 + 2x + x2 = -4.333333333 + 1 Combine like terms: -4.333333333 + 1 = -3.333333333 1 + 2x + x2 = -3.333333333 Factor a perfect square on the left side: (x + 1)(x + 1) = -3.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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