0=400+5x+0.125x^2

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Solution for 0=400+5x+0.125x^2 equation: 


Simplifying
0 = 400 + 5x + 0.125x2

Solving
0 = 400 + 5x + 0.125x2

Solving for variable 'x'.

Combine like terms: 0 + -400 = -400
-400 + -5x + -0.125x2 = 400 + 5x + 0.125x2 + -400 + -5x + -0.125x2

Reorder the terms:
-400 + -5x + -0.125x2 = 400 + -400 + 5x + -5x + 0.125x2 + -0.125x2

Combine like terms: 400 + -400 = 0
-400 + -5x + -0.125x2 = 0 + 5x + -5x + 0.125x2 + -0.125x2
-400 + -5x + -0.125x2 = 5x + -5x + 0.125x2 + -0.125x2

Combine like terms: 5x + -5x = 0
-400 + -5x + -0.125x2 = 0 + 0.125x2 + -0.125x2
-400 + -5x + -0.125x2 = 0.125x2 + -0.125x2

Combine like terms: 0.125x2 + -0.125x2 = 0.000
-400 + -5x + -0.125x2 = 0.000

Begin completing the square.  Divide all terms by
-0.125 the coefficient of the squared term: 

Divide each side by '-0.125'.
3200 + 40x + x2 = 0

Move the constant term to the right:

Add '-3200' to each side of the equation.
3200 + 40x + -3200 + x2 = 0 + -3200

Reorder the terms:
3200 + -3200 + 40x + x2 = 0 + -3200

Combine like terms: 3200 + -3200 = 0
0 + 40x + x2 = 0 + -3200
40x + x2 = 0 + -3200

Combine like terms: 0 + -3200 = -3200
40x + x2 = -3200

The x term is 40x.  Take half its coefficient (20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
40x + 400 + x2 = -3200 + 400

Reorder the terms:
400 + 40x + x2 = -3200 + 400

Combine like terms: -3200 + 400 = -2800
400 + 40x + x2 = -2800

Factor a perfect square on the left side:
(x + 20)(x + 20) = -2800

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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