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Simplifying 4x2 + 87x + 630 = 0 Reorder the terms: 630 + 87x + 4x2 = 0 Solving 630 + 87x + 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'. 157.5 + 21.75x + x2 = 0 Move the constant term to the right: Add '-157.5' to each side of the equation. 157.5 + 21.75x + -157.5 + x2 = 0 + -157.5 Reorder the terms: 157.5 + -157.5 + 21.75x + x2 = 0 + -157.5 Combine like terms: 157.5 + -157.5 = 0.0 0.0 + 21.75x + x2 = 0 + -157.5 21.75x + x2 = 0 + -157.5 Combine like terms: 0 + -157.5 = -157.5 21.75x + x2 = -157.5 The x term is 21.75x. Take half its coefficient (10.875). Square it (118.265625) and add it to both sides. Add '118.265625' to each side of the equation. 21.75x + 118.265625 + x2 = -157.5 + 118.265625 Reorder the terms: 118.265625 + 21.75x + x2 = -157.5 + 118.265625 Combine like terms: -157.5 + 118.265625 = -39.234375 118.265625 + 21.75x + x2 = -39.234375 Factor a perfect square on the left side: (x + 10.875)(x + 10.875) = -39.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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