(2D+1)x+(D+1)y=t^2+4t

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Solution for (2D+1)x+(D+1)y=t^2+4t equation: 


Simplifying
(2D + 1) * x + (D + 1) * y = t2 + 4t

Reorder the terms:
(1 + 2D) * x + (D + 1) * y = t2 + 4t

Reorder the terms for easier multiplication:
x(1 + 2D) + (D + 1) * y = t2 + 4t
(1 * x + 2D * x) + (D + 1) * y = t2 + 4t
(1x + 2xD) + (D + 1) * y = t2 + 4t

Reorder the terms:
1x + 2xD + (1 + D) * y = t2 + 4t

Reorder the terms for easier multiplication:
1x + 2xD + y(1 + D) = t2 + 4t
1x + 2xD + (1 * y + D * y) = t2 + 4t
1x + 2xD + (1y + yD) = t2 + 4t

Reorder the terms:
1x + 2xD + 1y + yD = 4t + t2

Solving
1x + 2xD + 1y + yD = 4t + t2

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
1x + 2xD + 1y + -1y + yD = 4t + t2 + -1y

Combine like terms: 1y + -1y = 0
1x + 2xD + 0 + yD = 4t + t2 + -1y
1x + 2xD + yD = 4t + t2 + -1y

Add '-1yD' to each side of the equation.
1x + 2xD + yD + -1yD = 4t + t2 + -1y + -1yD

Combine like terms: yD + -1yD = 0
1x + 2xD + 0 = 4t + t2 + -1y + -1yD
1x + 2xD = 4t + t2 + -1y + -1yD

Reorder the terms:
-4t + -1t2 + 1x + 2xD + y + yD = 4t + t2 + -1y + -1yD + -4t + -1t2 + y + yD

Reorder the terms:
-4t + -1t2 + 1x + 2xD + y + yD = 4t + -4t + t2 + -1t2 + -1y + y + -1yD + yD

Combine like terms: 4t + -4t = 0
-4t + -1t2 + 1x + 2xD + y + yD = 0 + t2 + -1t2 + -1y + y + -1yD + yD
-4t + -1t2 + 1x + 2xD + y + yD = t2 + -1t2 + -1y + y + -1yD + yD

Combine like terms: t2 + -1t2 = 0
-4t + -1t2 + 1x + 2xD + y + yD = 0 + -1y + y + -1yD + yD
-4t + -1t2 + 1x + 2xD + y + yD = -1y + y + -1yD + yD

Combine like terms: -1y + y = 0
-4t + -1t2 + 1x + 2xD + y + yD = 0 + -1yD + yD
-4t + -1t2 + 1x + 2xD + y + yD = -1yD + yD

Combine like terms: -1yD + yD = 0
-4t + -1t2 + 1x + 2xD + y + yD = 0

The solution to this equation could not be determined.

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