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Simplifying 5x2 + -19x + 35 = 0 Reorder the terms: 35 + -19x + 5x2 = 0 Solving 35 + -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'. 7 + -3.8x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -3.8x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -3.8x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3.8x + x2 = 0 + -7 -3.8x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3.8x + x2 = -7 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 = -7 + 3.61 Reorder the terms: 3.61 + -3.8x + x2 = -7 + 3.61 Combine like terms: -7 + 3.61 = -3.39 3.61 + -3.8x + x2 = -3.39 Factor a perfect square on the left side: (x + -1.9)(x + -1.9) = -3.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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