3x^2+3(xD+y)+6y^2+D=0

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Solution for 3x^2+3(xD+y)+6y^2+D=0 equation:


Simplifying
3x2 + 3(xD + y) + 6y2 + D = 0
3x2 + (xD * 3 + y * 3) + 6y2 + D = 0
3x2 + (3xD + 3y) + 6y2 + D = 0

Reorder the terms:
D + 3xD + 3x2 + 3y + 6y2 = 0

Solving
D + 3xD + 3x2 + 3y + 6y2 = 0

Solving for variable 'D'.

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

Add '-3x2' to each side of the equation.
D + 3xD + 3x2 + 3y + -3x2 + 6y2 = 0 + -3x2

Reorder the terms:
D + 3xD + 3x2 + -3x2 + 3y + 6y2 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
D + 3xD + 0 + 3y + 6y2 = 0 + -3x2
D + 3xD + 3y + 6y2 = 0 + -3x2
Remove the zero:
D + 3xD + 3y + 6y2 = -3x2

Add '-3y' to each side of the equation.
D + 3xD + 3y + -3y + 6y2 = -3x2 + -3y

Combine like terms: 3y + -3y = 0
D + 3xD + 0 + 6y2 = -3x2 + -3y
D + 3xD + 6y2 = -3x2 + -3y

Add '-6y2' to each side of the equation.
D + 3xD + 6y2 + -6y2 = -3x2 + -3y + -6y2

Combine like terms: 6y2 + -6y2 = 0
D + 3xD + 0 = -3x2 + -3y + -6y2
D + 3xD = -3x2 + -3y + -6y2

Reorder the terms:
D + 3xD + 3x2 + 3y + 6y2 = -3x2 + 3x2 + -3y + 3y + -6y2 + 6y2

Combine like terms: -3x2 + 3x2 = 0
D + 3xD + 3x2 + 3y + 6y2 = 0 + -3y + 3y + -6y2 + 6y2
D + 3xD + 3x2 + 3y + 6y2 = -3y + 3y + -6y2 + 6y2

Combine like terms: -3y + 3y = 0
D + 3xD + 3x2 + 3y + 6y2 = 0 + -6y2 + 6y2
D + 3xD + 3x2 + 3y + 6y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
D + 3xD + 3x2 + 3y + 6y2 = 0

The solution to this equation could not be determined.

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