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

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

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

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

Multiply (5 + y) * (-6 + 5y)
(5(-6 + 5y) + y(-6 + 5y)) = 0
((-6 * 5 + 5y * 5) + y(-6 + 5y)) = 0
((-30 + 25y) + y(-6 + 5y)) = 0
(-30 + 25y + (-6 * y + 5y * y)) = 0
(-30 + 25y + (-6y + 5y2)) = 0

Combine like terms: 25y + -6y = 19y
(-30 + 19y + 5y2) = 0

Solving
-30 + 19y + 5y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

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

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

Divide each side by '-1'.
y = -5

Simplifying
y = -5
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 = {-5, 1.2}