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Simplifying 5x2 + -24x + 115 = 0 Reorder the terms: 115 + -24x + 5x2 = 0 Solving 115 + -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'. 23 + -4.8x + x2 = 0 Move the constant term to the right: Add '-23' to each side of the equation. 23 + -4.8x + -23 + x2 = 0 + -23 Reorder the terms: 23 + -23 + -4.8x + x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4.8x + x2 = 0 + -23 -4.8x + x2 = 0 + -23 Combine like terms: 0 + -23 = -23 -4.8x + x2 = -23 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 = -23 + 5.76 Reorder the terms: 5.76 + -4.8x + x2 = -23 + 5.76 Combine like terms: -23 + 5.76 = -17.24 5.76 + -4.8x + x2 = -17.24 Factor a perfect square on the left side: (x + -2.4)(x + -2.4) = -17.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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