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Simplifying x = -5x2 + 3x + -2 Reorder the terms: x = -2 + 3x + -5x2 Solving x = -2 + 3x + -5x2 Solving for variable 'x'. Reorder the terms: 2 + x + -3x + 5x2 = -2 + 3x + -5x2 + 2 + -3x + 5x2 Combine like terms: x + -3x = -2x 2 + -2x + 5x2 = -2 + 3x + -5x2 + 2 + -3x + 5x2 Reorder the terms: 2 + -2x + 5x2 = -2 + 2 + 3x + -3x + -5x2 + 5x2 Combine like terms: -2 + 2 = 0 2 + -2x + 5x2 = 0 + 3x + -3x + -5x2 + 5x2 2 + -2x + 5x2 = 3x + -3x + -5x2 + 5x2 Combine like terms: 3x + -3x = 0 2 + -2x + 5x2 = 0 + -5x2 + 5x2 2 + -2x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 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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