2y(5y-1)=-15y+3

Solution for 2y(5y-1)=-15y+3 equation:

Simplifying
2y(5y + -1) = -15y + 3

Reorder the terms:
2y(-1 + 5y) = -15y + 3
(-1 * 2y + 5y * 2y) = -15y + 3
(-2y + 10y2) = -15y + 3

Reorder the terms:
-2y + 10y2 = 3 + -15y

Solving
-2y + 10y2 = 3 + -15y

Solving for variable 'y'.

Reorder the terms:
-3 + -2y + 15y + 10y2 = 3 + -15y + -3 + 15y

Combine like terms: -2y + 15y = 13y
-3 + 13y + 10y2 = 3 + -15y + -3 + 15y

Reorder the terms:
-3 + 13y + 10y2 = 3 + -3 + -15y + 15y

Combine like terms: 3 + -3 = 0
-3 + 13y + 10y2 = 0 + -15y + 15y
-3 + 13y + 10y2 = -15y + 15y

Combine like terms: -15y + 15y = 0
-3 + 13y + 10y2 = 0

Factor a trinomial.
(-3 + -2y)(1 + -5y) = 0

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

Simplifying
-3 + -2y = 0

Solving
-3 + -2y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 0 + 3
-2y = 0 + 3

Combine like terms: 0 + 3 = 3
-2y = 3

Divide each side by '-2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(1 + -5y)' equal to zero and attempt to solve:

Simplifying
1 + -5y = 0

Solving
1 + -5y = 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 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2
Solution
y = {-1.5, 0.2}