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Simplifying (5x + 2) = (3x2 + 4x + 8) Reorder the terms: (2 + 5x) = (3x2 + 4x + 8) Remove parenthesis around (2 + 5x) 2 + 5x = (3x2 + 4x + 8) Reorder the terms: 2 + 5x = (8 + 4x + 3x2) Remove parenthesis around (8 + 4x + 3x2) 2 + 5x = 8 + 4x + 3x2 Solving 2 + 5x = 8 + 4x + 3x2 Solving for variable 'x'. Reorder the terms: 2 + -8 + 5x + -4x + -3x2 = 8 + 4x + 3x2 + -8 + -4x + -3x2 Combine like terms: 2 + -8 = -6 -6 + 5x + -4x + -3x2 = 8 + 4x + 3x2 + -8 + -4x + -3x2 Combine like terms: 5x + -4x = 1x -6 + 1x + -3x2 = 8 + 4x + 3x2 + -8 + -4x + -3x2 Reorder the terms: -6 + 1x + -3x2 = 8 + -8 + 4x + -4x + 3x2 + -3x2 Combine like terms: 8 + -8 = 0 -6 + 1x + -3x2 = 0 + 4x + -4x + 3x2 + -3x2 -6 + 1x + -3x2 = 4x + -4x + 3x2 + -3x2 Combine like terms: 4x + -4x = 0 -6 + 1x + -3x2 = 0 + 3x2 + -3x2 -6 + 1x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6 + 1x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.3333333333x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.3333333333x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3333333333x + x2 = 0 + -2 -0.3333333333x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.3333333333x + x2 = -2 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -2 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -2 + 0.02777777779 Combine like terms: -2 + 0.02777777779 = -1.97222222221 0.02777777779 + -0.3333333333x + x2 = -1.97222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -1.97222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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