3x^2+40=13x

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Solution for 3x^2+40=13x equation: 


Simplifying
3x2 + 40 = 13x

Reorder the terms:
40 + 3x2 = 13x

Solving
40 + 3x2 = 13x

Solving for variable 'x'.

Reorder the terms:
40 + -13x + 3x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
40 + -13x + 3x2 = 0

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

Divide each side by '3'.
13.33333333 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -4.333333333x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -4.333333333x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -4.333333333x + x2 = 0 + -13.33333333
-4.333333333x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-4.333333333x + x2 = -13.33333333

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = -13.33333333 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = -13.33333333 + 4.694444446

Combine like terms: -13.33333333 + 4.694444446 = -8.638888884
4.694444446 + -4.333333333x + x2 = -8.638888884

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = -8.638888884

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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