6y^2+11=4y

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Solution for 6y^2+11=4y equation:


Simplifying
6y2 + 11 = 4y

Reorder the terms:
11 + 6y2 = 4y

Solving
11 + 6y2 = 4y

Solving for variable 'y'.

Reorder the terms:
11 + -4y + 6y2 = 4y + -4y

Combine like terms: 4y + -4y = 0
11 + -4y + 6y2 = 0

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

Divide each side by '6'.
1.833333333 + -0.6666666667y + y2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + -0.6666666667y + -1.833333333 + y2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + -0.6666666667y + y2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + -0.6666666667y + y2 = 0 + -1.833333333
-0.6666666667y + y2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
-0.6666666667y + y2 = -1.833333333

The y term is -0.6666666667y.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667y + 0.1111111112 + y2 = -1.833333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667y + y2 = -1.833333333 + 0.1111111112

Combine like terms: -1.833333333 + 0.1111111112 = -1.7222222218
0.1111111112 + -0.6666666667y + y2 = -1.7222222218

Factor a perfect square on the left side:
(y + -0.3333333334)(y + -0.3333333334) = -1.7222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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