400=0.0119x^2-45.585x+44128

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Solution for 400=0.0119x^2-45.585x+44128 equation: 


Simplifying
400 = 0.0119x2 + -45.585x + 44128

Reorder the terms:
400 = 44128 + -45.585x + 0.0119x2

Solving
400 = 44128 + -45.585x + 0.0119x2

Solving for variable 'x'.

Combine like terms: 400 + -44128 = -43728
-43728 + 45.585x + -0.0119x2 = 44128 + -45.585x + 0.0119x2 + -44128 + 45.585x + -0.0119x2

Reorder the terms:
-43728 + 45.585x + -0.0119x2 = 44128 + -44128 + -45.585x + 45.585x + 0.0119x2 + -0.0119x2

Combine like terms: 44128 + -44128 = 0
-43728 + 45.585x + -0.0119x2 = 0 + -45.585x + 45.585x + 0.0119x2 + -0.0119x2
-43728 + 45.585x + -0.0119x2 = -45.585x + 45.585x + 0.0119x2 + -0.0119x2

Combine like terms: -45.585x + 45.585x = 0.000
-43728 + 45.585x + -0.0119x2 = 0.000 + 0.0119x2 + -0.0119x2
-43728 + 45.585x + -0.0119x2 = 0.0119x2 + -0.0119x2

Combine like terms: 0.0119x2 + -0.0119x2 = 0.0000
-43728 + 45.585x + -0.0119x2 = 0.0000

Begin completing the square.  Divide all terms by
-0.0119 the coefficient of the squared term: 

Divide each side by '-0.0119'.
3674621.849 + -3830.672269x + x2 = 0

Move the constant term to the right:

Add '-3674621.849' to each side of the equation.
3674621.849 + -3830.672269x + -3674621.849 + x2 = 0 + -3674621.849

Reorder the terms:
3674621.849 + -3674621.849 + -3830.672269x + x2 = 0 + -3674621.849

Combine like terms: 3674621.849 + -3674621.849 = 0.000
0.000 + -3830.672269x + x2 = 0 + -3674621.849
-3830.672269x + x2 = 0 + -3674621.849

Combine like terms: 0 + -3674621.849 = -3674621.849
-3830.672269x + x2 = -3674621.849

The x term is -3830.672269x.  Take half its coefficient (-1915.336135).
Square it (3668512.510) and add it to both sides.

Add '3668512.510' to each side of the equation.
-3830.672269x + 3668512.510 + x2 = -3674621.849 + 3668512.510

Reorder the terms:
3668512.510 + -3830.672269x + x2 = -3674621.849 + 3668512.510

Combine like terms: -3674621.849 + 3668512.510 = -6109.339
3668512.510 + -3830.672269x + x2 = -6109.339

Factor a perfect square on the left side:
(x + -1915.336135)(x + -1915.336135) = -6109.339

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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