-2y(3y+5)=-4

Solution for -2y(3y+5)=-4 equation:

Simplifying
-2y(3y + 5) = -4

Reorder the terms:
-2y(5 + 3y) = -4
(5 * -2y + 3y * -2y) = -4
(-10y + -6y2) = -4

Solving
-10y + -6y2 = -4

Solving for variable 'y'.

Reorder the terms:
4 + -10y + -6y2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -10y + -6y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -5y + -3y2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

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

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

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

Simplifying
y = -2
Solution
y = {0.3333333333, -2}