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Simplifying 4x2 + 19x + 30 = 0 Reorder the terms: 30 + 19x + 4x2 = 0 Solving 30 + 19x + 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'. 7.5 + 4.75x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 4.75x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 4.75x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 4.75x + x2 = 0 + -7.5 4.75x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 4.75x + x2 = -7.5 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 = -7.5 + 5.640625 Reorder the terms: 5.640625 + 4.75x + x2 = -7.5 + 5.640625 Combine like terms: -7.5 + 5.640625 = -1.859375 5.640625 + 4.75x + x2 = -1.859375 Factor a perfect square on the left side: (x + 2.375)(x + 2.375) = -1.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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