3(18y+36)(2x+14y)=12

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Solution for 3(18y+36)(2x+14y)=12 equation: 


Simplifying
3(18y + 36)(2x + 14y) = 12

Reorder the terms:
3(36 + 18y)(2x + 14y) = 12

Multiply (36 + 18y) * (2x + 14y)
3(36(2x + 14y) + 18y * (2x + 14y)) = 12
3((2x * 36 + 14y * 36) + 18y * (2x + 14y)) = 12
3((72x + 504y) + 18y * (2x + 14y)) = 12
3(72x + 504y + (2x * 18y + 14y * 18y)) = 12
3(72x + 504y + (36xy + 252y2)) = 12

Reorder the terms:
3(72x + 36xy + 504y + 252y2) = 12
3(72x + 36xy + 504y + 252y2) = 12
(72x * 3 + 36xy * 3 + 504y * 3 + 252y2 * 3) = 12
(216x + 108xy + 1512y + 756y2) = 12

Solving
216x + 108xy + 1512y + 756y2 = 12

Solving for variable 'x'.

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

Add '-1512y' to each side of the equation.
216x + 108xy + 1512y + -1512y + 756y2 = 12 + -1512y

Combine like terms: 1512y + -1512y = 0
216x + 108xy + 0 + 756y2 = 12 + -1512y
216x + 108xy + 756y2 = 12 + -1512y

Add '-756y2' to each side of the equation.
216x + 108xy + 756y2 + -756y2 = 12 + -1512y + -756y2

Combine like terms: 756y2 + -756y2 = 0
216x + 108xy + 0 = 12 + -1512y + -756y2
216x + 108xy = 12 + -1512y + -756y2

Reorder the terms:
-12 + 216x + 108xy + 1512y + 756y2 = 12 + -1512y + -756y2 + -12 + 1512y + 756y2

Reorder the terms:
-12 + 216x + 108xy + 1512y + 756y2 = 12 + -12 + -1512y + 1512y + -756y2 + 756y2

Combine like terms: 12 + -12 = 0
-12 + 216x + 108xy + 1512y + 756y2 = 0 + -1512y + 1512y + -756y2 + 756y2
-12 + 216x + 108xy + 1512y + 756y2 = -1512y + 1512y + -756y2 + 756y2

Combine like terms: -1512y + 1512y = 0
-12 + 216x + 108xy + 1512y + 756y2 = 0 + -756y2 + 756y2
-12 + 216x + 108xy + 1512y + 756y2 = -756y2 + 756y2

Combine like terms: -756y2 + 756y2 = 0
-12 + 216x + 108xy + 1512y + 756y2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-1 + 18x + 9xy + 126y + 63y2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-1 + 18x + 9xy + 126y + 63y2)' equal to zero and attempt to solve:

Simplifying
-1 + 18x + 9xy + 126y + 63y2 = 0

Solving
-1 + 18x + 9xy + 126y + 63y2 = 0

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

Add '1' to each side of the equation.
-1 + 18x + 9xy + 126y + 1 + 63y2 = 0 + 1

Reorder the terms:
-1 + 1 + 18x + 9xy + 126y + 63y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 18x + 9xy + 126y + 63y2 = 0 + 1
18x + 9xy + 126y + 63y2 = 0 + 1

Combine like terms: 0 + 1 = 1
18x + 9xy + 126y + 63y2 = 1

Add '-126y' to each side of the equation.
18x + 9xy + 126y + -126y + 63y2 = 1 + -126y

Combine like terms: 126y + -126y = 0
18x + 9xy + 0 + 63y2 = 1 + -126y
18x + 9xy + 63y2 = 1 + -126y

Add '-63y2' to each side of the equation.
18x + 9xy + 63y2 + -63y2 = 1 + -126y + -63y2

Combine like terms: 63y2 + -63y2 = 0
18x + 9xy + 0 = 1 + -126y + -63y2
18x + 9xy = 1 + -126y + -63y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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