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Simplifying 8x = -12 + -3x2 Solving 8x = -12 + -3x2 Solving for variable 'x'. Reorder the terms: 12 + 8x + 3x2 = -12 + -3x2 + 12 + 3x2 Reorder the terms: 12 + 8x + 3x2 = -12 + 12 + -3x2 + 3x2 Combine like terms: -12 + 12 = 0 12 + 8x + 3x2 = 0 + -3x2 + 3x2 12 + 8x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 12 + 8x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4 + 2.666666667x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 2.666666667x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 2.666666667x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2.666666667x + x2 = 0 + -4 2.666666667x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 2.666666667x + x2 = -4 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 = -4 + 1.777777780 Reorder the terms: 1.777777780 + 2.666666667x + x2 = -4 + 1.777777780 Combine like terms: -4 + 1.777777780 = -2.22222222 1.777777780 + 2.666666667x + x2 = -2.22222222 Factor a perfect square on the left side: (x + 1.333333334)(x + 1.333333334) = -2.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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