(3y+2)*(-y-2)=0

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Solution for (3y+2)*(-y-2)=0 equation: 


Simplifying
(3y + 2)(-1y + -2) = 0

Reorder the terms:
(2 + 3y)(-1y + -2) = 0

Reorder the terms:
(2 + 3y)(-2 + -1y) = 0

Multiply (2 + 3y) * (-2 + -1y)
(2(-2 + -1y) + 3y * (-2 + -1y)) = 0
((-2 * 2 + -1y * 2) + 3y * (-2 + -1y)) = 0
((-4 + -2y) + 3y * (-2 + -1y)) = 0
(-4 + -2y + (-2 * 3y + -1y * 3y)) = 0
(-4 + -2y + (-6y + -3y2)) = 0

Combine like terms: -2y + -6y = -8y
(-4 + -8y + -3y2) = 0

Solving
-4 + -8y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 8y + 3y2) = 0

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

Ignore the factor -1.

Subproblem 1
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

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

Simplifying
2 + 3y = 0

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

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

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

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {-2, -0.6666666667}

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