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

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


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

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

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

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

Reorder the terms:
(196 + 42x + 28y + (42x + 6xy + 9x2) + 2y * (14 + 3x + 2y)) = 5 + -2y + 3 + 4x
(196 + 42x + 28y + (42x + 6xy + 9x2) + 2y * (14 + 3x + 2y)) = 5 + -2y + 3 + 4x
(196 + 42x + 28y + 42x + 6xy + 9x2 + (14 * 2y + 3x * 2y + 2y * 2y)) = 5 + -2y + 3 + 4x

Reorder the terms:
(196 + 42x + 28y + 42x + 6xy + 9x2 + (6xy + 28y + 4y2)) = 5 + -2y + 3 + 4x
(196 + 42x + 28y + 42x + 6xy + 9x2 + (6xy + 28y + 4y2)) = 5 + -2y + 3 + 4x

Reorder the terms:
(196 + 42x + 42x + 6xy + 6xy + 9x2 + 28y + 28y + 4y2) = 5 + -2y + 3 + 4x

Combine like terms: 42x + 42x = 84x
(196 + 84x + 6xy + 6xy + 9x2 + 28y + 28y + 4y2) = 5 + -2y + 3 + 4x

Combine like terms: 6xy + 6xy = 12xy
(196 + 84x + 12xy + 9x2 + 28y + 28y + 4y2) = 5 + -2y + 3 + 4x

Combine like terms: 28y + 28y = 56y
(196 + 84x + 12xy + 9x2 + 56y + 4y2) = 5 + -2y + 3 + 4x

Reorder the terms:
196 + 84x + 12xy + 9x2 + 56y + 4y2 = 5 + 3 + 4x + -2y

Combine like terms: 5 + 3 = 8
196 + 84x + 12xy + 9x2 + 56y + 4y2 = 8 + 4x + -2y

Solving
196 + 84x + 12xy + 9x2 + 56y + 4y2 = 8 + 4x + -2y

Solving for variable 'x'.

Reorder the terms:
196 + -8 + 84x + -4x + 12xy + 9x2 + 56y + 2y + 4y2 = 8 + 4x + -2y + -8 + -4x + 2y

Combine like terms: 196 + -8 = 188
188 + 84x + -4x + 12xy + 9x2 + 56y + 2y + 4y2 = 8 + 4x + -2y + -8 + -4x + 2y

Combine like terms: 84x + -4x = 80x
188 + 80x + 12xy + 9x2 + 56y + 2y + 4y2 = 8 + 4x + -2y + -8 + -4x + 2y

Combine like terms: 56y + 2y = 58y
188 + 80x + 12xy + 9x2 + 58y + 4y2 = 8 + 4x + -2y + -8 + -4x + 2y

Reorder the terms:
188 + 80x + 12xy + 9x2 + 58y + 4y2 = 8 + -8 + 4x + -4x + -2y + 2y

Combine like terms: 8 + -8 = 0
188 + 80x + 12xy + 9x2 + 58y + 4y2 = 0 + 4x + -4x + -2y + 2y
188 + 80x + 12xy + 9x2 + 58y + 4y2 = 4x + -4x + -2y + 2y

Combine like terms: 4x + -4x = 0
188 + 80x + 12xy + 9x2 + 58y + 4y2 = 0 + -2y + 2y
188 + 80x + 12xy + 9x2 + 58y + 4y2 = -2y + 2y

Combine like terms: -2y + 2y = 0
188 + 80x + 12xy + 9x2 + 58y + 4y2 = 0

The solution to this equation could not be determined.

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