(5+y)(4y-6)=0

Solution for (5+y)(4y-6)=0 equation:

Simplifying
(5 + y)(4y + -6) = 0

Reorder the terms:
(5 + y)(-6 + 4y) = 0

Multiply (5 + y) * (-6 + 4y)
(5(-6 + 4y) + y(-6 + 4y)) = 0
((-6 * 5 + 4y * 5) + y(-6 + 4y)) = 0
((-30 + 20y) + y(-6 + 4y)) = 0
(-30 + 20y + (-6 * y + 4y * y)) = 0
(-30 + 20y + (-6y + 4y2)) = 0

Combine like terms: 20y + -6y = 14y
(-30 + 14y + 4y2) = 0

Solving
-30 + 14y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 7y + 2y2) = 0

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

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

Simplifying
3 + -2y = 0

Solving
3 + -2y = 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 + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 0 + -3
-2y = 0 + -3

Combine like terms: 0 + -3 = -3
-2y = -3

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5
Solution
y = {-5, 1.5}