40x-3x^2=1000

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Solution for 40x-3x^2=1000 equation:


Simplifying
40x + -3x2 = 1000

Solving
40x + -3x2 = 1000

Solving for variable 'x'.

Reorder the terms:
-1000 + 40x + -3x2 = 1000 + -1000

Combine like terms: 1000 + -1000 = 0
-1000 + 40x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
333.3333333 + -13.33333333x + x2 = 0

Move the constant term to the right:

Add '-333.3333333' to each side of the equation.
333.3333333 + -13.33333333x + -333.3333333 + x2 = 0 + -333.3333333

Reorder the terms:
333.3333333 + -333.3333333 + -13.33333333x + x2 = 0 + -333.3333333

Combine like terms: 333.3333333 + -333.3333333 = 0.0000000
0.0000000 + -13.33333333x + x2 = 0 + -333.3333333
-13.33333333x + x2 = 0 + -333.3333333

Combine like terms: 0 + -333.3333333 = -333.3333333
-13.33333333x + x2 = -333.3333333

The x term is -13.33333333x.  Take half its coefficient (-6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
-13.33333333x + 44.44444442 + x2 = -333.3333333 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = -333.3333333 + 44.44444442

Combine like terms: -333.3333333 + 44.44444442 = -288.88888888
44.44444442 + -13.33333333x + x2 = -288.88888888

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = -288.88888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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