6x^2+11=8x

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Solution for 6x^2+11=8x equation:


Simplifying
6x2 + 11 = 8x

Reorder the terms:
11 + 6x2 = 8x

Solving
11 + 6x2 = 8x

Solving for variable 'x'.

Reorder the terms:
11 + -8x + 6x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -8x + 6x2 = 0

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

Divide each side by '6'.
1.833333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + -1.333333333x + -1.833333333 + x2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + -1.333333333x + x2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -1.833333333
-1.333333333x + x2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
-1.333333333x + x2 = -1.833333333

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -1.833333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -1.833333333 + 0.4444444442

Combine like terms: -1.833333333 + 0.4444444442 = -1.3888888888
0.4444444442 + -1.333333333x + x2 = -1.3888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -1.3888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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