10000+50x+x^2=0

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Solution for 10000+50x+x^2=0 equation:


Simplifying
10000 + 50x + x2 = 0

Solving
10000 + 50x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-10000' to each side of the equation.
10000 + 50x + -10000 + x2 = 0 + -10000

Reorder the terms:
10000 + -10000 + 50x + x2 = 0 + -10000

Combine like terms: 10000 + -10000 = 0
0 + 50x + x2 = 0 + -10000
50x + x2 = 0 + -10000

Combine like terms: 0 + -10000 = -10000
50x + x2 = -10000

The x term is 50x.  Take half its coefficient (25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
50x + 625 + x2 = -10000 + 625

Reorder the terms:
625 + 50x + x2 = -10000 + 625

Combine like terms: -10000 + 625 = -9375
625 + 50x + x2 = -9375

Factor a perfect square on the left side:
(x + 25)(x + 25) = -9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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