2x^2-6x+40=6x+5

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Solution for 2x^2-6x+40=6x+5 equation: 


Simplifying
2x2 + -6x + 40 = 6x + 5

Reorder the terms:
40 + -6x + 2x2 = 6x + 5

Reorder the terms:
40 + -6x + 2x2 = 5 + 6x

Solving
40 + -6x + 2x2 = 5 + 6x

Solving for variable 'x'.

Reorder the terms:
40 + -5 + -6x + -6x + 2x2 = 5 + 6x + -5 + -6x

Combine like terms: 40 + -5 = 35
35 + -6x + -6x + 2x2 = 5 + 6x + -5 + -6x

Combine like terms: -6x + -6x = -12x
35 + -12x + 2x2 = 5 + 6x + -5 + -6x

Reorder the terms:
35 + -12x + 2x2 = 5 + -5 + 6x + -6x

Combine like terms: 5 + -5 = 0
35 + -12x + 2x2 = 0 + 6x + -6x
35 + -12x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
35 + -12x + 2x2 = 0

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

Divide each side by '2'.
17.5 + -6x + x2 = 0

Move the constant term to the right:

Add '-17.5' to each side of the equation.
17.5 + -6x + -17.5 + x2 = 0 + -17.5

Reorder the terms:
17.5 + -17.5 + -6x + x2 = 0 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -6x + x2 = 0 + -17.5
-6x + x2 = 0 + -17.5

Combine like terms: 0 + -17.5 = -17.5
-6x + x2 = -17.5

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -17.5 + 9

Reorder the terms:
9 + -6x + x2 = -17.5 + 9

Combine like terms: -17.5 + 9 = -8.5
9 + -6x + x2 = -8.5

Factor a perfect square on the left side:
(x + -3)(x + -3) = -8.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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