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Simplifying 5x2 + 27x + 50 = 0 Reorder the terms: 50 + 27x + 5x2 = 0 Solving 50 + 27x + 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'. 10 + 5.4x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 5.4x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 5.4x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5.4x + x2 = 0 + -10 5.4x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 5.4x + x2 = -10 The x term is 5.4x. Take half its coefficient (2.7). Square it (7.29) and add it to both sides. Add '7.29' to each side of the equation. 5.4x + 7.29 + x2 = -10 + 7.29 Reorder the terms: 7.29 + 5.4x + x2 = -10 + 7.29 Combine like terms: -10 + 7.29 = -2.71 7.29 + 5.4x + x2 = -2.71 Factor a perfect square on the left side: (x + 2.7)(x + 2.7) = -2.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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