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Simplifying 5x2 + -48x + 140 = 0 Reorder the terms: 140 + -48x + 5x2 = 0 Solving 140 + -48x + 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'. 28 + -9.6x + x2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -9.6x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -9.6x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9.6x + x2 = 0 + -28 -9.6x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -9.6x + x2 = -28 The x term is -9.6x. Take half its coefficient (-4.8). Square it (23.04) and add it to both sides. Add '23.04' to each side of the equation. -9.6x + 23.04 + x2 = -28 + 23.04 Reorder the terms: 23.04 + -9.6x + x2 = -28 + 23.04 Combine like terms: -28 + 23.04 = -4.96 23.04 + -9.6x + x2 = -4.96 Factor a perfect square on the left side: (x + -4.8)(x + -4.8) = -4.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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