-3y(5y+1)=

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

Simplifying
-3y(5y + 1) = 0

Reorder the terms:
-3y(1 + 5y) = 0
(1 * -3y + 5y * -3y) = 0
(-3y + -15y2) = 0

Solving
-3y + -15y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-3y'.
-3y(1 + 5y) = 0

Ignore the factor -3.
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 + 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 = {0, -0.2}