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Simplifying 4x2 + 30x + 351 = 0 Reorder the terms: 351 + 30x + 4x2 = 0 Solving 351 + 30x + 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'. 87.75 + 7.5x + x2 = 0 Move the constant term to the right: Add '-87.75' to each side of the equation. 87.75 + 7.5x + -87.75 + x2 = 0 + -87.75 Reorder the terms: 87.75 + -87.75 + 7.5x + x2 = 0 + -87.75 Combine like terms: 87.75 + -87.75 = 0.00 0.00 + 7.5x + x2 = 0 + -87.75 7.5x + x2 = 0 + -87.75 Combine like terms: 0 + -87.75 = -87.75 7.5x + x2 = -87.75 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = -87.75 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = -87.75 + 14.0625 Combine like terms: -87.75 + 14.0625 = -73.6875 14.0625 + 7.5x + x2 = -73.6875 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = -73.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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