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Simplifying 5x2 + 24x + 270 = 0 Reorder the terms: 270 + 24x + 5x2 = 0 Solving 270 + 24x + 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'. 54 + 4.8x + x2 = 0 Move the constant term to the right: Add '-54' to each side of the equation. 54 + 4.8x + -54 + x2 = 0 + -54 Reorder the terms: 54 + -54 + 4.8x + x2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 4.8x + x2 = 0 + -54 4.8x + x2 = 0 + -54 Combine like terms: 0 + -54 = -54 4.8x + x2 = -54 The x term is 4.8x. Take half its coefficient (2.4). Square it (5.76) and add it to both sides. Add '5.76' to each side of the equation. 4.8x + 5.76 + x2 = -54 + 5.76 Reorder the terms: 5.76 + 4.8x + x2 = -54 + 5.76 Combine like terms: -54 + 5.76 = -48.24 5.76 + 4.8x + x2 = -48.24 Factor a perfect square on the left side: (x + 2.4)(x + 2.4) = -48.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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