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Simplifying 0 = -6x2 + x + -18 Reorder the terms: 0 = -18 + x + -6x2 Solving 0 = -18 + x + -6x2 Solving for variable 'x'. Combine like terms: 0 + 18 = 18 18 + -1x + 6x2 = -18 + x + -6x2 + 18 + -1x + 6x2 Reorder the terms: 18 + -1x + 6x2 = -18 + 18 + x + -1x + -6x2 + 6x2 Combine like terms: -18 + 18 = 0 18 + -1x + 6x2 = 0 + x + -1x + -6x2 + 6x2 18 + -1x + 6x2 = x + -1x + -6x2 + 6x2 Combine like terms: x + -1x = 0 18 + -1x + 6x2 = 0 + -6x2 + 6x2 18 + -1x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 18 + -1x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 3 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.1666666667x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -0.1666666667x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.1666666667x + x2 = 0 + -3 -0.1666666667x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.1666666667x + x2 = -3 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 = -3 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -3 + 0.006944444447 Combine like terms: -3 + 0.006944444447 = -2.993055555553 0.006944444447 + -0.1666666667x + x2 = -2.993055555553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -2.993055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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