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Simplifying x2 + 12.5x + 62500 = 0 Reorder the terms: 62500 + 12.5x + x2 = 0 Solving 62500 + 12.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-62500' to each side of the equation. 62500 + 12.5x + -62500 + x2 = 0 + -62500 Reorder the terms: 62500 + -62500 + 12.5x + x2 = 0 + -62500 Combine like terms: 62500 + -62500 = 0 0 + 12.5x + x2 = 0 + -62500 12.5x + x2 = 0 + -62500 Combine like terms: 0 + -62500 = -62500 12.5x + x2 = -62500 The x term is 12.5x. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5x + 39.0625 + x2 = -62500 + 39.0625 Reorder the terms: 39.0625 + 12.5x + x2 = -62500 + 39.0625 Combine like terms: -62500 + 39.0625 = -62460.9375 39.0625 + 12.5x + x2 = -62460.9375 Factor a perfect square on the left side: (x + 6.25)(x + 6.25) = -62460.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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