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Simplifying 6x2 = x + -12 Reorder the terms: 6x2 = -12 + x Solving 6x2 = -12 + x Solving for variable 'x'. Reorder the terms: 12 + -1x + 6x2 = -12 + x + 12 + -1x Reorder the terms: 12 + -1x + 6x2 = -12 + 12 + x + -1x Combine like terms: -12 + 12 = 0 12 + -1x + 6x2 = 0 + x + -1x 12 + -1x + 6x2 = x + -1x Combine like terms: x + -1x = 0 12 + -1x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.1666666667x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.1666666667x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.1666666667x + x2 = 0 + -2 -0.1666666667x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.1666666667x + x2 = -2 The x term is -0.1666666667x. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667x + 0.006944444447 + x2 = -2 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -2 + 0.006944444447 Combine like terms: -2 + 0.006944444447 = -1.993055555553 0.006944444447 + -0.1666666667x + x2 = -1.993055555553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -1.993055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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