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Simplifying 3x2 + -4 + 10x + -6x2 + -8 = 0 Reorder the terms: -4 + -8 + 10x + 3x2 + -6x2 = 0 Combine like terms: -4 + -8 = -12 -12 + 10x + 3x2 + -6x2 = 0 Combine like terms: 3x2 + -6x2 = -3x2 -12 + 10x + -3x2 = 0 Solving -12 + 10x + -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'. 4 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3.333333333x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -3.333333333x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3.333333333x + x2 = 0 + -4 -3.333333333x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3.333333333x + x2 = -4 The x term is -3.333333333x. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333x + 2.777777779 + x2 = -4 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -4 + 2.777777779 Combine like terms: -4 + 2.777777779 = -1.222222221 2.777777779 + -3.333333333x + x2 = -1.222222221 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -1.222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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