0=x^2+50x+5000

Solution for 0=x^2+50x+5000 equation:

Simplifying
0 = x2 + 50x + 5000

Reorder the terms:
0 = 5000 + 50x + x2

Solving
0 = 5000 + 50x + x2

Solving for variable 'x'.

Combine like terms: 0 + -5000 = -5000
-5000 + -50x + -1x2 = 5000 + 50x + x2 + -5000 + -50x + -1x2

Reorder the terms:
-5000 + -50x + -1x2 = 5000 + -5000 + 50x + -50x + x2 + -1x2

Combine like terms: 5000 + -5000 = 0
-5000 + -50x + -1x2 = 0 + 50x + -50x + x2 + -1x2
-5000 + -50x + -1x2 = 50x + -50x + x2 + -1x2

Combine like terms: 50x + -50x = 0
-5000 + -50x + -1x2 = 0 + x2 + -1x2
-5000 + -50x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5000 + -50x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5000 + 50x + x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(5000 + 50x + x2)' equal to zero and attempt to solve:

Simplifying
5000 + 50x + x2 = 0

Solving
5000 + 50x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5000' to each side of the equation.
5000 + 50x + -5000 + x2 = 0 + -5000

Reorder the terms:
5000 + -5000 + 50x + x2 = 0 + -5000

Combine like terms: 5000 + -5000 = 0
0 + 50x + x2 = 0 + -5000
50x + x2 = 0 + -5000

Combine like terms: 0 + -5000 = -5000
50x + x2 = -5000

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 = -5000 + 625

Reorder the terms:
625 + 50x + x2 = -5000 + 625

Combine like terms: -5000 + 625 = -4375
625 + 50x + x2 = -4375

Factor a perfect square on the left side:
(x + 25)(x + 25) = -4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.