4y(9y)=36y

Solution for 4y(9y)=36y equation:

Simplifying
4y(9y) = 36y

Remove parenthesis around (9y)
4y * 9y = 36y

Reorder the terms for easier multiplication:
4 * 9y * y = 36y

Multiply 4 * 9
36y * y = 36y

Multiply y * y
36y2 = 36y

Solving
36y2 = 36y

Solving for variable 'y'.

Reorder the terms:
-36y + 36y2 = 36y + -36y

Combine like terms: 36y + -36y = 0
-36y + 36y2 = 0

Factor out the Greatest Common Factor (GCF), '36y'.
36y(-1 + y) = 0

Ignore the factor 36.
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 '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 0

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

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

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

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

Simplifying
y = 1
Solution
y = {0, 1}