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Simplifying 5x2 + -19x + 88 = 0 Reorder the terms: 88 + -19x + 5x2 = 0 Solving 88 + -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'. 17.6 + -3.8x + x2 = 0 Move the constant term to the right: Add '-17.6' to each side of the equation. 17.6 + -3.8x + -17.6 + x2 = 0 + -17.6 Reorder the terms: 17.6 + -17.6 + -3.8x + x2 = 0 + -17.6 Combine like terms: 17.6 + -17.6 = 0.0 0.0 + -3.8x + x2 = 0 + -17.6 -3.8x + x2 = 0 + -17.6 Combine like terms: 0 + -17.6 = -17.6 -3.8x + x2 = -17.6 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 = -17.6 + 3.61 Reorder the terms: 3.61 + -3.8x + x2 = -17.6 + 3.61 Combine like terms: -17.6 + 3.61 = -13.99 3.61 + -3.8x + x2 = -13.99 Factor a perfect square on the left side: (x + -1.9)(x + -1.9) = -13.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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