-2y(y+4)+5y=

Solution for -2y(y+4)+5y= equation:

Simplifying
-2y(y + 4) + 5y = 0

Reorder the terms:
-2y(4 + y) + 5y = 0
(4 * -2y + y * -2y) + 5y = 0
(-8y + -2y2) + 5y = 0

Reorder the terms:
-8y + 5y + -2y2 = 0

Combine like terms: -8y + 5y = -3y
-3y + -2y2 = 0

Solving
-3y + -2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(3 + 2y) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
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 = {0, -1.5}