9y^2+4=15y

Solution for 9y^2+4=15y equation:

Simplifying
9y2 + 4 = 15y

Reorder the terms:
4 + 9y2 = 15y

Solving
4 + 9y2 = 15y

Solving for variable 'y'.

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
y = {0.3333333333, 1.333333333}