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Simplifying 5x2 + 48x + 144 = 0 Reorder the terms: 144 + 48x + 5x2 = 0 Solving 144 + 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'. 28.8 + 9.6x + x2 = 0 Move the constant term to the right: Add '-28.8' to each side of the equation. 28.8 + 9.6x + -28.8 + x2 = 0 + -28.8 Reorder the terms: 28.8 + -28.8 + 9.6x + x2 = 0 + -28.8 Combine like terms: 28.8 + -28.8 = 0.0 0.0 + 9.6x + x2 = 0 + -28.8 9.6x + x2 = 0 + -28.8 Combine like terms: 0 + -28.8 = -28.8 9.6x + x2 = -28.8 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 = -28.8 + 23.04 Reorder the terms: 23.04 + 9.6x + x2 = -28.8 + 23.04 Combine like terms: -28.8 + 23.04 = -5.76 23.04 + 9.6x + x2 = -5.76 Factor a perfect square on the left side: (x + 4.8)(x + 4.8) = -5.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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