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Simplifying 6x2 = x + -24 Reorder the terms: 6x2 = -24 + x Solving 6x2 = -24 + x Solving for variable 'x'. Reorder the terms: 24 + -1x + 6x2 = -24 + x + 24 + -1x Reorder the terms: 24 + -1x + 6x2 = -24 + 24 + x + -1x Combine like terms: -24 + 24 = 0 24 + -1x + 6x2 = 0 + x + -1x 24 + -1x + 6x2 = x + -1x Combine like terms: x + -1x = 0 24 + -1x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 4 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.1666666667x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -0.1666666667x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.1666666667x + x2 = 0 + -4 -0.1666666667x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -0.1666666667x + x2 = -4 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 = -4 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -4 + 0.006944444447 Combine like terms: -4 + 0.006944444447 = -3.993055555553 0.006944444447 + -0.1666666667x + x2 = -3.993055555553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -3.993055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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