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

Solution for (2-y)(5y+6)=0 equation:

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

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

Multiply (2 + -1y) * (6 + 5y)
(2(6 + 5y) + -1y * (6 + 5y)) = 0
((6 * 2 + 5y * 2) + -1y * (6 + 5y)) = 0
((12 + 10y) + -1y * (6 + 5y)) = 0
(12 + 10y + (6 * -1y + 5y * -1y)) = 0
(12 + 10y + (-6y + -5y2)) = 0

Combine like terms: 10y + -6y = 4y
(12 + 4y + -5y2) = 0

Solving
12 + 4y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -1y)(6 + 5y) = 0

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve:

Simplifying
6 + 5y = 0

Solving
6 + 5y = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 0 + -6
5y = 0 + -6

Combine like terms: 0 + -6 = -6
5y = -6

Divide each side by '5'.
y = -1.2

Simplifying
y = -1.2
Solution
y = {2, -1.2}