(3a+2y+14)x(3a+2y+14)=5-2y+3+4a

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Solution for (3a+2y+14)x(3a+2y+14)=5-2y+3+4a equation: 


Simplifying
(3a + 2y + 14) * x(3a + 2y + 14) = 5 + -2y + 3 + 4a

Reorder the terms:
(14 + 3a + 2y) * x(3a + 2y + 14) = 5 + -2y + 3 + 4a

Reorder the terms:
(14 + 3a + 2y) * x(14 + 3a + 2y) = 5 + -2y + 3 + 4a

Reorder the terms for easier multiplication:
x(14 + 3a + 2y)(14 + 3a + 2y) = 5 + -2y + 3 + 4a

Multiply (14 + 3a + 2y) * (14 + 3a + 2y)
x(14(14 + 3a + 2y) + 3a * (14 + 3a + 2y) + 2y * (14 + 3a + 2y)) = 5 + -2y + 3 + 4a
x((14 * 14 + 3a * 14 + 2y * 14) + 3a * (14 + 3a + 2y) + 2y * (14 + 3a + 2y)) = 5 + -2y + 3 + 4a
x((196 + 42a + 28y) + 3a * (14 + 3a + 2y) + 2y * (14 + 3a + 2y)) = 5 + -2y + 3 + 4a
x(196 + 42a + 28y + (14 * 3a + 3a * 3a + 2y * 3a) + 2y * (14 + 3a + 2y)) = 5 + -2y + 3 + 4a

Reorder the terms:
x(196 + 42a + 28y + (42a + 6ay + 9a2) + 2y * (14 + 3a + 2y)) = 5 + -2y + 3 + 4a
x(196 + 42a + 28y + (42a + 6ay + 9a2) + 2y * (14 + 3a + 2y)) = 5 + -2y + 3 + 4a
x(196 + 42a + 28y + 42a + 6ay + 9a2 + (14 * 2y + 3a * 2y + 2y * 2y)) = 5 + -2y + 3 + 4a

Reorder the terms:
x(196 + 42a + 28y + 42a + 6ay + 9a2 + (6ay + 28y + 4y2)) = 5 + -2y + 3 + 4a
x(196 + 42a + 28y + 42a + 6ay + 9a2 + (6ay + 28y + 4y2)) = 5 + -2y + 3 + 4a

Reorder the terms:
x(196 + 42a + 42a + 6ay + 6ay + 9a2 + 28y + 28y + 4y2) = 5 + -2y + 3 + 4a

Combine like terms: 42a + 42a = 84a
x(196 + 84a + 6ay + 6ay + 9a2 + 28y + 28y + 4y2) = 5 + -2y + 3 + 4a

Combine like terms: 6ay + 6ay = 12ay
x(196 + 84a + 12ay + 9a2 + 28y + 28y + 4y2) = 5 + -2y + 3 + 4a

Combine like terms: 28y + 28y = 56y
x(196 + 84a + 12ay + 9a2 + 56y + 4y2) = 5 + -2y + 3 + 4a
(196 * x + 84a * x + 12ay * x + 9a2 * x + 56y * x + 4y2 * x) = 5 + -2y + 3 + 4a

Reorder the terms:
(84ax + 12axy + 9a2x + 196x + 56xy + 4xy2) = 5 + -2y + 3 + 4a
(84ax + 12axy + 9a2x + 196x + 56xy + 4xy2) = 5 + -2y + 3 + 4a

Reorder the terms:
84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 = 5 + 3 + 4a + -2y

Combine like terms: 5 + 3 = 8
84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 = 8 + 4a + -2y

Solving
84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 = 8 + 4a + -2y

Solving for variable 'a'.

Reorder the terms:
-8 + -4a + 84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 + 2y = 8 + 4a + -2y + -8 + -4a + 2y

Reorder the terms:
-8 + -4a + 84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 + 2y = 8 + -8 + 4a + -4a + -2y + 2y

Combine like terms: 8 + -8 = 0
-8 + -4a + 84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 + 2y = 0 + 4a + -4a + -2y + 2y
-8 + -4a + 84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 + 2y = 4a + -4a + -2y + 2y

Combine like terms: 4a + -4a = 0
-8 + -4a + 84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 + 2y = 0 + -2y + 2y
-8 + -4a + 84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-8 + -4a + 84ax + 12axy + 9a2x + 196x + 56xy + 4xy2 + 2y = 0

The solution to this equation could not be determined.

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