11y^2-7y+120=0

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Solution for 11y^2-7y+120=0 equation:


Simplifying
11y2 + -7y + 120 = 0

Reorder the terms:
120 + -7y + 11y2 = 0

Solving
120 + -7y + 11y2 = 0

Solving for variable 'y'.

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

Divide each side by '11'.
10.90909091 + -0.6363636364y + y2 = 0

Move the constant term to the right:

Add '-10.90909091' to each side of the equation.
10.90909091 + -0.6363636364y + -10.90909091 + y2 = 0 + -10.90909091

Reorder the terms:
10.90909091 + -10.90909091 + -0.6363636364y + y2 = 0 + -10.90909091

Combine like terms: 10.90909091 + -10.90909091 = 0.00000000
0.00000000 + -0.6363636364y + y2 = 0 + -10.90909091
-0.6363636364y + y2 = 0 + -10.90909091

Combine like terms: 0 + -10.90909091 = -10.90909091
-0.6363636364y + y2 = -10.90909091

The y term is -0.6363636364y.  Take half its coefficient (-0.3181818182).
Square it (0.1012396694) and add it to both sides.

Add '0.1012396694' to each side of the equation.
-0.6363636364y + 0.1012396694 + y2 = -10.90909091 + 0.1012396694

Reorder the terms:
0.1012396694 + -0.6363636364y + y2 = -10.90909091 + 0.1012396694

Combine like terms: -10.90909091 + 0.1012396694 = -10.8078512406
0.1012396694 + -0.6363636364y + y2 = -10.8078512406

Factor a perfect square on the left side:
(y + -0.3181818182)(y + -0.3181818182) = -10.8078512406

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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