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

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

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

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

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

Multiply (2 + 5y) * (6 + 2y)
(2(6 + 2y) + 5y * (6 + 2y)) = 0
((6 * 2 + 2y * 2) + 5y * (6 + 2y)) = 0
((12 + 4y) + 5y * (6 + 2y)) = 0
(12 + 4y + (6 * 5y + 2y * 5y)) = 0
(12 + 4y + (30y + 10y2)) = 0

Combine like terms: 4y + 30y = 34y
(12 + 34y + 10y2) = 0

Solving
12 + 34y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 17y + 5y2) = 0

Factor a trinomial.
2((3 + y)(2 + 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 '(2 + 5y)' equal to zero and attempt to solve:

Simplifying
2 + 5y = 0

Solving
2 + 5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 0 + -2
5y = 0 + -2

Combine like terms: 0 + -2 = -2
5y = -2

Divide each side by '5'.
y = -0.4

Simplifying
y = -0.4
Solution
y = {-3, -0.4}