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Simplifying 5x2 + -32x + 55 = 0 Reorder the terms: 55 + -32x + 5x2 = 0 Solving 55 + -32x + 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'. 11 + -6.4x + x2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + -6.4x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -6.4x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6.4x + x2 = 0 + -11 -6.4x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -6.4x + x2 = -11 The x term is -6.4x. Take half its coefficient (-3.2). Square it (10.24) and add it to both sides. Add '10.24' to each side of the equation. -6.4x + 10.24 + x2 = -11 + 10.24 Reorder the terms: 10.24 + -6.4x + x2 = -11 + 10.24 Combine like terms: -11 + 10.24 = -0.76 10.24 + -6.4x + x2 = -0.76 Factor a perfect square on the left side: (x + -3.2)(x + -3.2) = -0.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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