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Simplifying 3x2 + -8x + -18 = -60 Reorder the terms: -18 + -8x + 3x2 = -60 Solving -18 + -8x + 3x2 = -60 Solving for variable 'x'. Reorder the terms: -18 + 60 + -8x + 3x2 = -60 + 60 Combine like terms: -18 + 60 = 42 42 + -8x + 3x2 = -60 + 60 Combine like terms: -60 + 60 = 0 42 + -8x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 14 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -2.666666667x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -2.666666667x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2.666666667x + x2 = 0 + -14 -2.666666667x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -2.666666667x + x2 = -14 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = -14 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -14 + 1.777777780 Combine like terms: -14 + 1.777777780 = -12.22222222 1.777777780 + -2.666666667x + x2 = -12.22222222 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -12.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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