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Simplifying 3(x + 2) + -2x(x + 1) = 8 Reorder the terms: 3(2 + x) + -2x(x + 1) = 8 (2 * 3 + x * 3) + -2x(x + 1) = 8 (6 + 3x) + -2x(x + 1) = 8 Reorder the terms: 6 + 3x + -2x(1 + x) = 8 6 + 3x + (1 * -2x + x * -2x) = 8 6 + 3x + (-2x + -2x2) = 8 Combine like terms: 3x + -2x = 1x 6 + 1x + -2x2 = 8 Solving 6 + 1x + -2x2 = 8 Solving for variable 'x'. Reorder the terms: 6 + -8 + 1x + -2x2 = 8 + -8 Combine like terms: 6 + -8 = -2 -2 + 1x + -2x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -2 + 1x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 1 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x + x2 = 0 + -1 -0.5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5x + x2 = -1 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1 + 0.0625 Combine like terms: -1 + 0.0625 = -0.9375 0.0625 + -0.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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