440000=x(30-.4x)

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Solution for 440000=x(30-.4x) equation: 


Simplifying
440000 = x(30 + -0.4x)
440000 = (30 * x + -0.4x * x)
440000 = (30x + -0.4x2)

Solving
440000 = 30x + -0.4x2

Solving for variable 'x'.

Reorder the terms:
440000 + -30x + 0.4x2 = 30x + -30x + -0.4x2 + 0.4x2

Combine like terms: 30x + -30x = 0
440000 + -30x + 0.4x2 = 0 + -0.4x2 + 0.4x2
440000 + -30x + 0.4x2 = -0.4x2 + 0.4x2

Combine like terms: -0.4x2 + 0.4x2 = 0.0
440000 + -30x + 0.4x2 = 0.0

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

Divide each side by '0.4'.
1100000 + -75x + x2 = 0

Move the constant term to the right:

Add '-1100000' to each side of the equation.
1100000 + -75x + -1100000 + x2 = 0 + -1100000

Reorder the terms:
1100000 + -1100000 + -75x + x2 = 0 + -1100000

Combine like terms: 1100000 + -1100000 = 0
0 + -75x + x2 = 0 + -1100000
-75x + x2 = 0 + -1100000

Combine like terms: 0 + -1100000 = -1100000
-75x + x2 = -1100000

The x term is -75x.  Take half its coefficient (-37.5).
Square it (1406.25) and add it to both sides.

Add '1406.25' to each side of the equation.
-75x + 1406.25 + x2 = -1100000 + 1406.25

Reorder the terms:
1406.25 + -75x + x2 = -1100000 + 1406.25

Combine like terms: -1100000 + 1406.25 = -1098593.75
1406.25 + -75x + x2 = -1098593.75

Factor a perfect square on the left side:
(x + -37.5)(x + -37.5) = -1098593.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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