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Simplifying -3x(x + -1) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: -3x(-1 + x) + 8(x + -3) = 6x + 7 + -5x (-1 * -3x + x * -3x) + 8(x + -3) = 6x + 7 + -5x (3x + -3x2) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: 3x + -3x2 + 8(-3 + x) = 6x + 7 + -5x 3x + -3x2 + (-3 * 8 + x * 8) = 6x + 7 + -5x 3x + -3x2 + (-24 + 8x) = 6x + 7 + -5x Reorder the terms: -24 + 3x + 8x + -3x2 = 6x + 7 + -5x Combine like terms: 3x + 8x = 11x -24 + 11x + -3x2 = 6x + 7 + -5x Reorder the terms: -24 + 11x + -3x2 = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -24 + 11x + -3x2 = 7 + 1x Solving -24 + 11x + -3x2 = 7 + 1x Solving for variable 'x'. Reorder the terms: -24 + -7 + 11x + -1x + -3x2 = 7 + 1x + -7 + -1x Combine like terms: -24 + -7 = -31 -31 + 11x + -1x + -3x2 = 7 + 1x + -7 + -1x Combine like terms: 11x + -1x = 10x -31 + 10x + -3x2 = 7 + 1x + -7 + -1x Reorder the terms: -31 + 10x + -3x2 = 7 + -7 + 1x + -1x Combine like terms: 7 + -7 = 0 -31 + 10x + -3x2 = 0 + 1x + -1x -31 + 10x + -3x2 = 1x + -1x Combine like terms: 1x + -1x = 0 -31 + 10x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 10.33333333 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-10.33333333' to each side of the equation. 10.33333333 + -3.333333333x + -10.33333333 + x2 = 0 + -10.33333333 Reorder the terms: 10.33333333 + -10.33333333 + -3.333333333x + x2 = 0 + -10.33333333 Combine like terms: 10.33333333 + -10.33333333 = 0.00000000 0.00000000 + -3.333333333x + x2 = 0 + -10.33333333 -3.333333333x + x2 = 0 + -10.33333333 Combine like terms: 0 + -10.33333333 = -10.33333333 -3.333333333x + x2 = -10.33333333 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 = -10.33333333 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -10.33333333 + 2.777777779 Combine like terms: -10.33333333 + 2.777777779 = -7.555555551 2.777777779 + -3.333333333x + x2 = -7.555555551 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -7.555555551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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