y=(y^2)-6y

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Solution for y=(y^2)-6y equation: 


Simplifying
y = (y2) + -6y
y = y2 + -6y

Reorder the terms:
y = -6y + y2

Solving
y = -6y + y2

Solving for variable 'y'.

Combine like terms: y + 6y = 7y
7y + -1y2 = -6y + y2 + 6y + -1y2

Reorder the terms:
7y + -1y2 = -6y + 6y + y2 + -1y2

Combine like terms: -6y + 6y = 0
7y + -1y2 = 0 + y2 + -1y2
7y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
7y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(7 + -1y) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {0, 7}

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