3(x^2)y+sin(3y)+cos(3x)+xysin(x)cos(3y)+3(x^2)(y^3)+3(x^3)(y^2)=(x^2)+2xy+(y^2)

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Solution for 3(x^2)y+sin(3y)+cos(3x)+xysin(x)cos(3y)+3(x^2)(y^3)+3(x^3)(y^2)=(x^2)+2xy+(y^2) equation:


Simplifying
3(x2) * y + sin(3y) + cos(3x) + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply x2 * y
3x2y + sin(3y) + cos(3x) + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Remove parenthesis around (3y)
3x2y + ins * 3y + cos(3x) + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Reorder the terms for easier multiplication:
3x2y + 3ins * y + cos(3x) + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply ins * y
3x2y + 3insy + cos(3x) + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Remove parenthesis around (3x)
3x2y + 3insy + cos * 3x + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Reorder the terms for easier multiplication:
3x2y + 3insy + 3cos * x + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply cos * x
3x2y + 3insy + 3cosx + xysin(x) * cos(3y) + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Remove parenthesis around (3y)
3x2y + 3insy + 3cosx + insxy * x * cos * 3y + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Reorder the terms for easier multiplication:
3x2y + 3insy + 3cosx + 3insxy * x * cos * y + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply insxy * x
3x2y + 3insy + 3cosx + 3insx2y * cos * y + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply insx2y * cos
3x2y + 3insy + 3cosx + 3cinos2x2y * y + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply cinos2x2y * y
3x2y + 3insy + 3cosx + 3cinos2x2y2 + 3(x2)(y3) + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply x2 * y3
3x2y + 3insy + 3cosx + 3cinos2x2y2 + 3x2y3 + 3(x3)(y2) = (x2) + 2xy + (y2)

Multiply x3 * y2
3x2y + 3insy + 3cosx + 3cinos2x2y2 + 3x2y3 + 3x3y2 = (x2) + 2xy + (y2)

Reorder the terms:
3cinos2x2y2 + 3cosx + 3insy + 3x2y + 3x2y3 + 3x3y2 = (x2) + 2xy + (y2)
3cinos2x2y2 + 3cosx + 3insy + 3x2y + 3x2y3 + 3x3y2 = x2 + 2xy + (y2)
3cinos2x2y2 + 3cosx + 3insy + 3x2y + 3x2y3 + 3x3y2 = x2 + 2xy + y2

Reorder the terms:
3cinos2x2y2 + 3cosx + 3insy + 3x2y + 3x2y3 + 3x3y2 = 2xy + x2 + y2

Solving
3cinos2x2y2 + 3cosx + 3insy + 3x2y + 3x2y3 + 3x3y2 = 2xy + x2 + y2

Solving for variable 'c'.

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

Add '-3insy' to each side of the equation.
3cinos2x2y2 + 3cosx + 3insy + 3x2y + 3x2y3 + -3insy + 3x3y2 = 2xy + x2 + -3insy + y2

Reorder the terms:
3cinos2x2y2 + 3cosx + 3insy + -3insy + 3x2y + 3x2y3 + 3x3y2 = 2xy + x2 + -3insy + y2

Combine like terms: 3insy + -3insy = 0
3cinos2x2y2 + 3cosx + 0 + 3x2y + 3x2y3 + 3x3y2 = 2xy + x2 + -3insy + y2
3cinos2x2y2 + 3cosx + 3x2y + 3x2y3 + 3x3y2 = 2xy + x2 + -3insy + y2

Reorder the terms:
3cinos2x2y2 + 3cosx + 3x2y + 3x2y3 + 3x3y2 = -3insy + 2xy + x2 + y2

Add '-3x2y' to each side of the equation.
3cinos2x2y2 + 3cosx + 3x2y + 3x2y3 + -3x2y + 3x3y2 = -3insy + 2xy + x2 + -3x2y + y2

Reorder the terms:
3cinos2x2y2 + 3cosx + 3x2y + -3x2y + 3x2y3 + 3x3y2 = -3insy + 2xy + x2 + -3x2y + y2

Combine like terms: 3x2y + -3x2y = 0
3cinos2x2y2 + 3cosx + 0 + 3x2y3 + 3x3y2 = -3insy + 2xy + x2 + -3x2y + y2
3cinos2x2y2 + 3cosx + 3x2y3 + 3x3y2 = -3insy + 2xy + x2 + -3x2y + y2

Add '-3x2y3' to each side of the equation.
3cinos2x2y2 + 3cosx + 3x2y3 + -3x2y3 + 3x3y2 = -3insy + 2xy + x2 + -3x2y + -3x2y3 + y2

Combine like terms: 3x2y3 + -3x2y3 = 0
3cinos2x2y2 + 3cosx + 0 + 3x3y2 = -3insy + 2xy + x2 + -3x2y + -3x2y3 + y2
3cinos2x2y2 + 3cosx + 3x3y2 = -3insy + 2xy + x2 + -3x2y + -3x2y3 + y2

Add '-3x3y2' to each side of the equation.
3cinos2x2y2 + 3cosx + 3x3y2 + -3x3y2 = -3insy + 2xy + x2 + -3x2y + -3x2y3 + -3x3y2 + y2

Combine like terms: 3x3y2 + -3x3y2 = 0
3cinos2x2y2 + 3cosx + 0 = -3insy + 2xy + x2 + -3x2y + -3x2y3 + -3x3y2 + y2
3cinos2x2y2 + 3cosx = -3insy + 2xy + x2 + -3x2y + -3x2y3 + -3x3y2 + y2

Reorder the terms:
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = -3insy + 3insy + 2xy + -2xy + x2 + -1x2 + -3x2y + 3x2y + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2

Combine like terms: -3insy + 3insy = 0
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 0 + 2xy + -2xy + x2 + -1x2 + -3x2y + 3x2y + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 2xy + -2xy + x2 + -1x2 + -3x2y + 3x2y + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2

Combine like terms: 2xy + -2xy = 0
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 0 + x2 + -1x2 + -3x2y + 3x2y + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = x2 + -1x2 + -3x2y + 3x2y + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2

Combine like terms: x2 + -1x2 = 0
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 0 + -3x2y + 3x2y + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = -3x2y + 3x2y + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2

Combine like terms: -3x2y + 3x2y = 0
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 0 + -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = -3x2y3 + 3x2y3 + -3x3y2 + 3x3y2 + y2 + -1y2

Combine like terms: -3x2y3 + 3x2y3 = 0
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 0 + -3x3y2 + 3x3y2 + y2 + -1y2
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = -3x3y2 + 3x3y2 + y2 + -1y2

Combine like terms: -3x3y2 + 3x3y2 = 0
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 0 + y2 + -1y2
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
3cinos2x2y2 + 3cosx + 3insy + -2xy + -1x2 + 3x2y + 3x2y3 + 3x3y2 + -1y2 = 0

The solution to this equation could not be determined.

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