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Simplifying 6x2 + 6x = -13 Reorder the terms: 6x + 6x2 = -13 Solving 6x + 6x2 = -13 Solving for variable 'x'. Reorder the terms: 13 + 6x + 6x2 = -13 + 13 Combine like terms: -13 + 13 = 0 13 + 6x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.166666667 + x + x2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + x + -2.166666667 + x2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + x + x2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + x + x2 = 0 + -2.166666667 x + x2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 x + x2 = -2.166666667 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -2.166666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -2.166666667 + 0.25 Combine like terms: -2.166666667 + 0.25 = -1.916666667 1.25 + x2 = -1.916666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.916666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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