6y^2-5y=-6

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Solution for 6y^2-5y=-6 equation:


Simplifying
6y2 + -5y = -6

Reorder the terms:
-5y + 6y2 = -6

Solving
-5y + 6y2 = -6

Solving for variable 'y'.

Reorder the terms:
6 + -5y + 6y2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -5y + 6y2 = 0

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

Divide each side by '6'.
1 + -0.8333333333y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.8333333333y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -0.8333333333y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.8333333333y + y2 = 0 + -1
-0.8333333333y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.8333333333y + y2 = -1

The y term is -0.8333333333y.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333y + 0.1736111111 + y2 = -1 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333y + y2 = -1 + 0.1736111111

Combine like terms: -1 + 0.1736111111 = -0.8263888889
0.1736111111 + -0.8333333333y + y2 = -0.8263888889

Factor a perfect square on the left side:
(y + -0.4166666667)(y + -0.4166666667) = -0.8263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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