3y(5-3y)=4

Solution for 3y(5-3y)=4 equation:

Simplifying
3y(5 + -3y) = 4
(5 * 3y + -3y * 3y) = 4
(15y + -9y2) = 4

Solving
15y + -9y2 = 4

Solving for variable 'y'.

Reorder the terms:
-4 + 15y + -9y2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 15y + -9y2 = 0

Factor a trinomial.
(-4 + 3y)(1 + -3y) = 0

Subproblem 1
Set the factor '(-4 + 3y)' equal to zero and attempt to solve:

Simplifying
-4 + 3y = 0

Solving
-4 + 3y = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 0 + 4
3y = 0 + 4

Combine like terms: 0 + 4 = 4
3y = 4

Divide each side by '3'.
y = 1.333333333

Simplifying
y = 1.333333333
Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 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 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Solution
y = {1.333333333, 0.3333333333}