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Simplifying 3x2 + -8x + 165 = 0 Reorder the terms: 165 + -8x + 3x2 = 0 Solving 165 + -8x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 55 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-55' to each side of the equation. 55 + -2.666666667x + -55 + x2 = 0 + -55 Reorder the terms: 55 + -55 + -2.666666667x + x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -2.666666667x + x2 = 0 + -55 -2.666666667x + x2 = 0 + -55 Combine like terms: 0 + -55 = -55 -2.666666667x + x2 = -55 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 = -55 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -55 + 1.777777780 Combine like terms: -55 + 1.777777780 = -53.22222222 1.777777780 + -2.666666667x + x2 = -53.22222222 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -53.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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