(5y+1)(2y+6)=

Solution for (5y+1)(2y+6)= equation:

Simplifying
(5y + 1)(2y + 6) = 0

Reorder the terms:
(1 + 5y)(2y + 6) = 0

Reorder the terms:
(1 + 5y)(6 + 2y) = 0

Multiply (1 + 5y) * (6 + 2y)
(1(6 + 2y) + 5y * (6 + 2y)) = 0
((6 * 1 + 2y * 1) + 5y * (6 + 2y)) = 0
((6 + 2y) + 5y * (6 + 2y)) = 0
(6 + 2y + (6 * 5y + 2y * 5y)) = 0
(6 + 2y + (30y + 10y2)) = 0

Combine like terms: 2y + 30y = 32y
(6 + 32y + 10y2) = 0

Solving
6 + 32y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 16y + 5y2) = 0

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

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

Simplifying
3 + y = 0

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

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

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

Simplifying
y = -3
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 = {-3, -0.2}