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Simplifying 5x2 + -11x + 24 = 0 Reorder the terms: 24 + -11x + 5x2 = 0 Solving 24 + -11x + 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'. 4.8 + -2.2x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -2.2x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -2.2x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -2.2x + x2 = 0 + -4.8 -2.2x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -2.2x + x2 = -4.8 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -4.8 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -4.8 + 1.21 Combine like terms: -4.8 + 1.21 = -3.59 1.21 + -2.2x + x2 = -3.59 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -3.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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