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Simplifying (6x2 + -16x + 33) = 0 Reorder the terms: (33 + -16x + 6x2) = 0 Remove parenthesis around (33 + -16x + 6x2) 33 + -16x + 6x2 = 0 Solving 33 + -16x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 5.5 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -2.666666667x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -2.666666667x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -2.666666667x + x2 = 0 + -5.5 -2.666666667x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -2.666666667x + x2 = -5.5 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 = -5.5 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -5.5 + 1.777777780 Combine like terms: -5.5 + 1.777777780 = -3.72222222 1.777777780 + -2.666666667x + x2 = -3.72222222 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -3.72222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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