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Simplifying 5x + -3x(2x + -1) + 3 = 8 + x Reorder the terms: 5x + -3x(-1 + 2x) + 3 = 8 + x 5x + (-1 * -3x + 2x * -3x) + 3 = 8 + x 5x + (3x + -6x2) + 3 = 8 + x Reorder the terms: 3 + 5x + 3x + -6x2 = 8 + x Combine like terms: 5x + 3x = 8x 3 + 8x + -6x2 = 8 + x Solving 3 + 8x + -6x2 = 8 + x Solving for variable 'x'. Reorder the terms: 3 + -8 + 8x + -1x + -6x2 = 8 + x + -8 + -1x Combine like terms: 3 + -8 = -5 -5 + 8x + -1x + -6x2 = 8 + x + -8 + -1x Combine like terms: 8x + -1x = 7x -5 + 7x + -6x2 = 8 + x + -8 + -1x Reorder the terms: -5 + 7x + -6x2 = 8 + -8 + x + -1x Combine like terms: 8 + -8 = 0 -5 + 7x + -6x2 = 0 + x + -1x -5 + 7x + -6x2 = x + -1x Combine like terms: x + -1x = 0 -5 + 7x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 0.8333333333 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -1.166666667x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -1.166666667x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -1.166666667x + x2 = 0 + -0.8333333333 -1.166666667x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -1.166666667x + x2 = -0.8333333333 The x term is -1.166666667x. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667x + 0.3402777780 + x2 = -0.8333333333 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = -0.8333333333 + 0.3402777780 Combine like terms: -0.8333333333 + 0.3402777780 = -0.4930555553 0.3402777780 + -1.166666667x + x2 = -0.4930555553 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = -0.4930555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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