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Simplifying 5x2 + -19x + 50 = 0 Reorder the terms: 50 + -19x + 5x2 = 0 Solving 50 + -19x + 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 + -3.8x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3.8x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -3.8x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3.8x + x2 = 0 + -10 -3.8x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3.8x + x2 = -10 The x term is -3.8x. Take half its coefficient (-1.9). Square it (3.61) and add it to both sides. Add '3.61' to each side of the equation. -3.8x + 3.61 + x2 = -10 + 3.61 Reorder the terms: 3.61 + -3.8x + x2 = -10 + 3.61 Combine like terms: -10 + 3.61 = -6.39 3.61 + -3.8x + x2 = -6.39 Factor a perfect square on the left side: (x + -1.9)(x + -1.9) = -6.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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