0=0.004(v^2-155v+7500)

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Solution for 0=0.004(v^2-155v+7500) equation: 


Simplifying
0 = 0.004(v2 + -155v + 7500)

Reorder the terms:
0 = 0.004(7500 + -155v + v2)
0 = (7500 * 0.004 + -155v * 0.004 + v2 * 0.004)
0 = (30 + -0.62v + 0.004v2)

Solving
0 = 30 + -0.62v + 0.004v2

Solving for variable 'v'.

Combine like terms: 0 + -30 = -30
-30 + 0.62v + -0.004v2 = 30 + -0.62v + 0.004v2 + -30 + 0.62v + -0.004v2

Reorder the terms:
-30 + 0.62v + -0.004v2 = 30 + -30 + -0.62v + 0.62v + 0.004v2 + -0.004v2

Combine like terms: 30 + -30 = 0
-30 + 0.62v + -0.004v2 = 0 + -0.62v + 0.62v + 0.004v2 + -0.004v2
-30 + 0.62v + -0.004v2 = -0.62v + 0.62v + 0.004v2 + -0.004v2

Combine like terms: -0.62v + 0.62v = 0.00
-30 + 0.62v + -0.004v2 = 0.00 + 0.004v2 + -0.004v2
-30 + 0.62v + -0.004v2 = 0.004v2 + -0.004v2

Combine like terms: 0.004v2 + -0.004v2 = 0.000
-30 + 0.62v + -0.004v2 = 0.000

Begin completing the square.  Divide all terms by
-0.004 the coefficient of the squared term: 

Divide each side by '-0.004'.
7500 + -155v + v2 = 0

Move the constant term to the right:

Add '-7500' to each side of the equation.
7500 + -155v + -7500 + v2 = 0 + -7500

Reorder the terms:
7500 + -7500 + -155v + v2 = 0 + -7500

Combine like terms: 7500 + -7500 = 0
0 + -155v + v2 = 0 + -7500
-155v + v2 = 0 + -7500

Combine like terms: 0 + -7500 = -7500
-155v + v2 = -7500

The v term is -155v.  Take half its coefficient (-77.5).
Square it (6006.25) and add it to both sides.

Add '6006.25' to each side of the equation.
-155v + 6006.25 + v2 = -7500 + 6006.25

Reorder the terms:
6006.25 + -155v + v2 = -7500 + 6006.25

Combine like terms: -7500 + 6006.25 = -1493.75
6006.25 + -155v + v2 = -1493.75

Factor a perfect square on the left side:
(v + -77.5)(v + -77.5) = -1493.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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