40x-3x^2=133.33333333

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Solution for 40x-3x^2=133.33333333 equation: 


Simplifying
40x + -3x2 = 133.33333333

Solving
40x + -3x2 = 133.33333333

Solving for variable 'x'.

Reorder the terms:
-133.33333333 + 40x + -3x2 = 133.33333333 + -133.33333333

Combine like terms: 133.33333333 + -133.33333333 = 0.00000000
-133.33333333 + 40x + -3x2 = 0.00000000

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

Divide each side by '-3'.
44.44444444 + -13.33333333x + x2 = 0.00000000

Move the constant term to the right:

Add '-44.44444444' to each side of the equation.
44.44444444 + -13.33333333x + -44.44444444 + x2 = 0.00000000 + -44.44444444

Reorder the terms:
44.44444444 + -44.44444444 + -13.33333333x + x2 = 0.00000000 + -44.44444444

Combine like terms: 44.44444444 + -44.44444444 = 0.00000000
0.00000000 + -13.33333333x + x2 = 0.00000000 + -44.44444444
-13.33333333x + x2 = 0.00000000 + -44.44444444

Combine like terms: 0.00000000 + -44.44444444 = -44.44444444
-13.33333333x + x2 = -44.44444444

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 = -44.44444444 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = -44.44444444 + 44.44444442

Combine like terms: -44.44444444 + 44.44444442 = -0.00000002
44.44444442 + -13.33333333x + x2 = -0.00000002

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = -0.00000002

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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