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Simplifying 5x2 + -32x + 72 = 0 Reorder the terms: 72 + -32x + 5x2 = 0 Solving 72 + -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'. 14.4 + -6.4x + x2 = 0 Move the constant term to the right: Add '-14.4' to each side of the equation. 14.4 + -6.4x + -14.4 + x2 = 0 + -14.4 Reorder the terms: 14.4 + -14.4 + -6.4x + x2 = 0 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -6.4x + x2 = 0 + -14.4 -6.4x + x2 = 0 + -14.4 Combine like terms: 0 + -14.4 = -14.4 -6.4x + x2 = -14.4 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 = -14.4 + 10.24 Reorder the terms: 10.24 + -6.4x + x2 = -14.4 + 10.24 Combine like terms: -14.4 + 10.24 = -4.16 10.24 + -6.4x + x2 = -4.16 Factor a perfect square on the left side: (x + -3.2)(x + -3.2) = -4.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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