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Simplifying 2x(x + 2) = 3x + -6 Reorder the terms: 2x(2 + x) = 3x + -6 (2 * 2x + x * 2x) = 3x + -6 (4x + 2x2) = 3x + -6 Reorder the terms: 4x + 2x2 = -6 + 3x Solving 4x + 2x2 = -6 + 3x Solving for variable 'x'. Reorder the terms: 6 + 4x + -3x + 2x2 = -6 + 3x + 6 + -3x Combine like terms: 4x + -3x = 1x 6 + 1x + 2x2 = -6 + 3x + 6 + -3x Reorder the terms: 6 + 1x + 2x2 = -6 + 6 + 3x + -3x Combine like terms: -6 + 6 = 0 6 + 1x + 2x2 = 0 + 3x + -3x 6 + 1x + 2x2 = 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3 + 0.5x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 0.5x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 0.5x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5x + x2 = 0 + -3 0.5x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 0.5x + x2 = -3 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 = -3 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -3 + 0.0625 Combine like terms: -3 + 0.0625 = -2.9375 0.0625 + 0.5x + x2 = -2.9375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -2.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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