3(18y+37)(2x+14y)=12

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Solution for 3(18y+37)(2x+14y)=12 equation: 


Simplifying
3(18y + 37)(2x + 14y) = 12

Reorder the terms:
3(37 + 18y)(2x + 14y) = 12

Multiply (37 + 18y) * (2x + 14y)
3(37(2x + 14y) + 18y * (2x + 14y)) = 12
3((2x * 37 + 14y * 37) + 18y * (2x + 14y)) = 12
3((74x + 518y) + 18y * (2x + 14y)) = 12
3(74x + 518y + (2x * 18y + 14y * 18y)) = 12
3(74x + 518y + (36xy + 252y2)) = 12

Reorder the terms:
3(74x + 36xy + 518y + 252y2) = 12
3(74x + 36xy + 518y + 252y2) = 12
(74x * 3 + 36xy * 3 + 518y * 3 + 252y2 * 3) = 12
(222x + 108xy + 1554y + 756y2) = 12

Solving
222x + 108xy + 1554y + 756y2 = 12

Solving for variable 'x'.

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

Add '-1554y' to each side of the equation.
222x + 108xy + 1554y + -1554y + 756y2 = 12 + -1554y

Combine like terms: 1554y + -1554y = 0
222x + 108xy + 0 + 756y2 = 12 + -1554y
222x + 108xy + 756y2 = 12 + -1554y

Add '-756y2' to each side of the equation.
222x + 108xy + 756y2 + -756y2 = 12 + -1554y + -756y2

Combine like terms: 756y2 + -756y2 = 0
222x + 108xy + 0 = 12 + -1554y + -756y2
222x + 108xy = 12 + -1554y + -756y2

Reorder the terms:
-12 + 222x + 108xy + 1554y + 756y2 = 12 + -1554y + -756y2 + -12 + 1554y + 756y2

Reorder the terms:
-12 + 222x + 108xy + 1554y + 756y2 = 12 + -12 + -1554y + 1554y + -756y2 + 756y2

Combine like terms: 12 + -12 = 0
-12 + 222x + 108xy + 1554y + 756y2 = 0 + -1554y + 1554y + -756y2 + 756y2
-12 + 222x + 108xy + 1554y + 756y2 = -1554y + 1554y + -756y2 + 756y2

Combine like terms: -1554y + 1554y = 0
-12 + 222x + 108xy + 1554y + 756y2 = 0 + -756y2 + 756y2
-12 + 222x + 108xy + 1554y + 756y2 = -756y2 + 756y2

Combine like terms: -756y2 + 756y2 = 0
-12 + 222x + 108xy + 1554y + 756y2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + 37x + 18xy + 259y + 126y2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-2 + 37x + 18xy + 259y + 126y2)' equal to zero and attempt to solve:

Simplifying
-2 + 37x + 18xy + 259y + 126y2 = 0

Solving
-2 + 37x + 18xy + 259y + 126y2 = 0

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

Add '2' to each side of the equation.
-2 + 37x + 18xy + 259y + 2 + 126y2 = 0 + 2

Reorder the terms:
-2 + 2 + 37x + 18xy + 259y + 126y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 37x + 18xy + 259y + 126y2 = 0 + 2
37x + 18xy + 259y + 126y2 = 0 + 2

Combine like terms: 0 + 2 = 2
37x + 18xy + 259y + 126y2 = 2

Add '-259y' to each side of the equation.
37x + 18xy + 259y + -259y + 126y2 = 2 + -259y

Combine like terms: 259y + -259y = 0
37x + 18xy + 0 + 126y2 = 2 + -259y
37x + 18xy + 126y2 = 2 + -259y

Add '-126y2' to each side of the equation.
37x + 18xy + 126y2 + -126y2 = 2 + -259y + -126y2

Combine like terms: 126y2 + -126y2 = 0
37x + 18xy + 0 = 2 + -259y + -126y2
37x + 18xy = 2 + -259y + -126y2

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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