6y(y-21)=

Solution for 6y(y-21)= equation:

Simplifying
6y(y + -21) = 0

Reorder the terms:
6y(-21 + y) = 0
(-21 * 6y + y * 6y) = 0
(-126y + 6y2) = 0

Solving
-126y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-21 + y) = 0

Ignore the factor 6.
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 '(-21 + y)' equal to zero and attempt to solve:

Simplifying
-21 + y = 0

Solving
-21 + y = 0

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

Add '21' to each side of the equation.
-21 + 21 + y = 0 + 21

Combine like terms: -21 + 21 = 0
0 + y = 0 + 21
y = 0 + 21

Combine like terms: 0 + 21 = 21
y = 21

Simplifying
y = 21
Solution
y = {0, 21}