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Simplifying -6x2 = -1x + 13 Reorder the terms: -6x2 = 13 + -1x Solving -6x2 = 13 + -1x Solving for variable 'x'. Reorder the terms: -13 + x + -6x2 = 13 + -1x + -13 + x Reorder the terms: -13 + x + -6x2 = 13 + -13 + -1x + x Combine like terms: 13 + -13 = 0 -13 + x + -6x2 = 0 + -1x + x -13 + x + -6x2 = -1x + x Combine like terms: -1x + x = 0 -13 + x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 2.166666667 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + -0.1666666667x + -2.166666667 + x2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + -0.1666666667x + x2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + -0.1666666667x + x2 = 0 + -2.166666667 -0.1666666667x + x2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 -0.1666666667x + 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. -0.1666666667x + 0.25 + x2 = -2.166666667 + 0.25 Reorder the terms: 0.25 + -0.1666666667x + x2 = -2.166666667 + 0.25 Combine like terms: -2.166666667 + 0.25 = -1.916666667 0.25 + -0.1666666667x + 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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