6-y*5y-6y=

Solution for 6-y*5y-6y= equation:

Simplifying
6 + -1y * 5y + -6y = 0

Reorder the terms for easier multiplication:
6 + -1 * 5y * y + -6y = 0

Multiply -1 * 5
6 + -5y * y + -6y = 0

Multiply y * y
6 + -5y2 + -6y = 0

Reorder the terms:
6 + -6y + -5y2 = 0

Solving
6 + -6y + -5y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
-1.2 + 1.2y + y2 = 0

Move the constant term to the right:

Add '1.2' to each side of the equation.
-1.2 + 1.2y + 1.2 + y2 = 0 + 1.2

Reorder the terms:
-1.2 + 1.2 + 1.2y + y2 = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.2y + y2 = 0 + 1.2
1.2y + y2 = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
1.2y + y2 = 1.2

The y term is 1.2y.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2y + 0.36 + y2 = 1.2 + 0.36

Reorder the terms:
0.36 + 1.2y + y2 = 1.2 + 0.36

Combine like terms: 1.2 + 0.36 = 1.56
0.36 + 1.2y + y2 = 1.56

Factor a perfect square on the left side:
(y + 0.6)(y + 0.6) = 1.56

Calculate the square root of the right side: 1.2489996

Break this problem into two subproblems by setting 
(y + 0.6) equal to 1.2489996 and -1.2489996.

Subproblem 1
y + 0.6 = 1.2489996

Simplifying
y + 0.6 = 1.2489996

Reorder the terms:
0.6 + y = 1.2489996

Solving
0.6 + y = 1.2489996

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.6' to each side of the equation.
0.6 + -0.6 + y = 1.2489996 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + y = 1.2489996 + -0.6
y = 1.2489996 + -0.6

Combine like terms: 1.2489996 + -0.6 = 0.6489996
y = 0.6489996

Simplifying
y = 0.6489996

Subproblem 2
y + 0.6 = -1.2489996

Simplifying
y + 0.6 = -1.2489996

Reorder the terms:
0.6 + y = -1.2489996

Solving
0.6 + y = -1.2489996

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.6' to each side of the equation.
0.6 + -0.6 + y = -1.2489996 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + y = -1.2489996 + -0.6
y = -1.2489996 + -0.6

Combine like terms: -1.2489996 + -0.6 = -1.8489996
y = -1.8489996

Simplifying
y = -1.8489996

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.6489996, -1.8489996}