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Simplifying 5x2 + -20x + 27 = 5 Reorder the terms: 27 + -20x + 5x2 = 5 Solving 27 + -20x + 5x2 = 5 Solving for variable 'x'. Reorder the terms: 27 + -5 + -20x + 5x2 = 5 + -5 Combine like terms: 27 + -5 = 22 22 + -20x + 5x2 = 5 + -5 Combine like terms: 5 + -5 = 0 22 + -20x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.4 + -4x + x2 = 0 Move the constant term to the right: Add '-4.4' to each side of the equation. 4.4 + -4x + -4.4 + x2 = 0 + -4.4 Reorder the terms: 4.4 + -4.4 + -4x + x2 = 0 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -4x + x2 = 0 + -4.4 -4x + x2 = 0 + -4.4 Combine like terms: 0 + -4.4 = -4.4 -4x + x2 = -4.4 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.4 + 4 Reorder the terms: 4 + -4x + x2 = -4.4 + 4 Combine like terms: -4.4 + 4 = -0.4 4 + -4x + x2 = -0.4 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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