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Simplifying 5x2 + 20 + -2x + -8 = 0 Reorder the terms: 20 + -8 + -2x + 5x2 = 0 Combine like terms: 20 + -8 = 12 12 + -2x + 5x2 = 0 Solving 12 + -2x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + -0.4x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -0.4x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -0.4x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.4x + x2 = 0 + -2.4 -0.4x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -0.4x + x2 = -2.4 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 = -2.4 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -2.4 + 0.04 Combine like terms: -2.4 + 0.04 = -2.36 0.04 + -0.4x + x2 = -2.36 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -2.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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