15y^2=4-7y

Solution for 15y^2=4-7y equation:

Simplifying
15y2 = 4 + -7y

Solving
15y2 = 4 + -7y

Solving for variable 'y'.

Reorder the terms:
-4 + 7y + 15y2 = 4 + -7y + -4 + 7y

Reorder the terms:
-4 + 7y + 15y2 = 4 + -4 + -7y + 7y

Combine like terms: 4 + -4 = 0
-4 + 7y + 15y2 = 0 + -7y + 7y
-4 + 7y + 15y2 = -7y + 7y

Combine like terms: -7y + 7y = 0
-4 + 7y + 15y2 = 0

Factor a trinomial.
(-4 + -5y)(1 + -3y) = 0

Subproblem 1
Set the factor '(-4 + -5y)' equal to zero and attempt to solve:

Simplifying
-4 + -5y = 0

Solving
-4 + -5y = 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 + -5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5y = 0 + 4
-5y = 0 + 4

Combine like terms: 0 + 4 = 4
-5y = 4

Divide each side by '-5'.
y = -0.8

Simplifying
y = -0.8
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 = {-0.8, 0.3333333333}