x^2+12.5x+62500=0

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Solution for x^2+12.5x+62500=0 equation:


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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