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Simplifying -5x2 + 32x + -52 = 0 Reorder the terms: -52 + 32x + -5x2 = 0 Solving -52 + 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'. 10.4 + -6.4x + x2 = 0 Move the constant term to the right: Add '-10.4' to each side of the equation. 10.4 + -6.4x + -10.4 + x2 = 0 + -10.4 Reorder the terms: 10.4 + -10.4 + -6.4x + x2 = 0 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + -6.4x + x2 = 0 + -10.4 -6.4x + x2 = 0 + -10.4 Combine like terms: 0 + -10.4 = -10.4 -6.4x + x2 = -10.4 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 = -10.4 + 10.24 Reorder the terms: 10.24 + -6.4x + x2 = -10.4 + 10.24 Combine like terms: -10.4 + 10.24 = -0.16 10.24 + -6.4x + x2 = -0.16 Factor a perfect square on the left side: (x + -3.2)(x + -3.2) = -0.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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