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Simplifying 4x2 + -19x + 55 = 9 + 10 Reorder the terms: 55 + -19x + 4x2 = 9 + 10 Combine like terms: 9 + 10 = 19 55 + -19x + 4x2 = 19 Solving 55 + -19x + 4x2 = 19 Solving for variable 'x'. Reorder the terms: 55 + -19 + -19x + 4x2 = 19 + -19 Combine like terms: 55 + -19 = 36 36 + -19x + 4x2 = 19 + -19 Combine like terms: 19 + -19 = 0 36 + -19x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 9 + -4.75x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4.75x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -4.75x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4.75x + x2 = 0 + -9 -4.75x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4.75x + x2 = -9 The x term is -4.75x. Take half its coefficient (-2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. -4.75x + 5.640625 + x2 = -9 + 5.640625 Reorder the terms: 5.640625 + -4.75x + x2 = -9 + 5.640625 Combine like terms: -9 + 5.640625 = -3.359375 5.640625 + -4.75x + x2 = -3.359375 Factor a perfect square on the left side: (x + -2.375)(x + -2.375) = -3.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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