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Simplifying 4x2 + 14x + 19 = 0 Reorder the terms: 19 + 14x + 4x2 = 0 Solving 19 + 14x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4.75 + 3.5x + x2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + 3.5x + -4.75 + x2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + 3.5x + x2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + 3.5x + x2 = 0 + -4.75 3.5x + x2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 3.5x + x2 = -4.75 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -4.75 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -4.75 + 3.0625 Combine like terms: -4.75 + 3.0625 = -1.6875 3.0625 + 3.5x + x2 = -1.6875 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -1.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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