2(X+y)3(X+y)=

Solution for 2(X+y)3(X+y)= equation:

Simplifying
2(X + y) * 3(X + y) = 0

Reorder the terms for easier multiplication:
2 * 3(X + y)(X + y) = 0

Multiply 2 * 3
6(X + y)(X + y) = 0

Multiply (X + y) * (X + y)
6(X(X + y) + y(X + y)) = 0
6((X * X + y * X) + y(X + y)) = 0
6((X2 + yX) + y(X + y)) = 0
6(X2 + yX + (X * y + y * y)) = 0
6(X2 + yX + (yX + y2)) = 0

Combine like terms: yX + yX = 2yX
6(X2 + 2yX + y2) = 0
(X2 * 6 + 2yX * 6 + y2 * 6) = 0
(6X2 + 12yX + 6y2) = 0

Solving
6X2 + 12yX + 6y2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '6'.
6(X2 + 2yX + y2) = 0

Factor a trinomial.
6((X + y)(X + y)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(X + y)' equal to zero and attempt to solve:

Simplifying
X + y = 0

Solving
X + y = 0

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

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

Combine like terms: y + -1y = 0
X + 0 = 0 + -1y
X = 0 + -1y
Remove the zero:
X = -1y

Simplifying
X = -1y
Subproblem 2
Set the factor '(X + y)' equal to zero and attempt to solve:

Simplifying
X + y = 0

Solving
X + y = 0

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

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

Combine like terms: y + -1y = 0
X + 0 = 0 + -1y
X = 0 + -1y
Remove the zero:
X = -1y

Simplifying
X = -1y
Solution
X = {-1y, -1y}