4(x+6y)(x+6y)=

Solution for 4(x+6y)(x+6y)= equation:

Simplifying
4(x + 6y)(x + 6y) = 0

Multiply (x + 6y) * (x + 6y)
4(x(x + 6y) + 6y * (x + 6y)) = 0
4((x * x + 6y * x) + 6y * (x + 6y)) = 0

Reorder the terms:
4((6xy + x2) + 6y * (x + 6y)) = 0
4((6xy + x2) + 6y * (x + 6y)) = 0
4(6xy + x2 + (x * 6y + 6y * 6y)) = 0
4(6xy + x2 + (6xy + 36y2)) = 0

Reorder the terms:
4(6xy + 6xy + x2 + 36y2) = 0

Combine like terms: 6xy + 6xy = 12xy
4(12xy + x2 + 36y2) = 0
(12xy * 4 + x2 * 4 + 36y2 * 4) = 0
(48xy + 4x2 + 144y2) = 0

Solving
48xy + 4x2 + 144y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(12xy + x2 + 36y2) = 0

Factor a trinomial.
4((x + 6y)(x + 6y)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(x + 6y)' equal to zero and attempt to solve:

Simplifying
x + 6y = 0

Solving
x + 6y = 0

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

Add '-6y' to each side of the equation.
x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
x + 0 = 0 + -6y
x = 0 + -6y
Remove the zero:
x = -6y

Simplifying
x = -6y
Subproblem 2
Set the factor '(x + 6y)' equal to zero and attempt to solve:

Simplifying
x + 6y = 0

Solving
x + 6y = 0

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

Add '-6y' to each side of the equation.
x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
x + 0 = 0 + -6y
x = 0 + -6y
Remove the zero:
x = -6y

Simplifying
x = -6y
Solution
x = {-6y, -6y}