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Simplifying x2 + 3x + 2 = x + -4x2 Reorder the terms: 2 + 3x + x2 = x + -4x2 Solving 2 + 3x + x2 = x + -4x2 Solving for variable 'x'. Reorder the terms: 2 + 3x + -1x + x2 + 4x2 = x + -4x2 + -1x + 4x2 Combine like terms: 3x + -1x = 2x 2 + 2x + x2 + 4x2 = x + -4x2 + -1x + 4x2 Combine like terms: x2 + 4x2 = 5x2 2 + 2x + 5x2 = x + -4x2 + -1x + 4x2 Reorder the terms: 2 + 2x + 5x2 = x + -1x + -4x2 + 4x2 Combine like terms: x + -1x = 0 2 + 2x + 5x2 = 0 + -4x2 + 4x2 2 + 2x + 5x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 2 + 2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.4x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.4x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.4x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.4x + x2 = 0 + -0.4 0.4x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.4x + x2 = -0.4 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -0.4 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -0.4 + 0.04 Combine like terms: -0.4 + 0.04 = -0.36 0.04 + 0.4x + x2 = -0.36 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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