(D+d^1-1)*(d+2d^1+3)*2=4+3x+6y

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Solution for (D+d^1-1)*(d+2d^1+3)*2=4+3x+6y equation: 


Simplifying
(D + d + -1)(d + 2d + 3) * 2 = 4 + 3x + 6y

Reorder the terms:
(-1 + D + d)(d + 2d + 3) * 2 = 4 + 3x + 6y

Reorder the terms:
(-1 + D + d)(3 + d + 2d) * 2 = 4 + 3x + 6y

Combine like terms: d + 2d = 3d
(-1 + D + d)(3 + 3d) * 2 = 4 + 3x + 6y

Reorder the terms for easier multiplication:
2(-1 + D + d)(3 + 3d) = 4 + 3x + 6y

Multiply (-1 + D + d) * (3 + 3d)
2(-1(3 + 3d) + D(3 + 3d) + d(3 + 3d)) = 4 + 3x + 6y
2((3 * -1 + 3d * -1) + D(3 + 3d) + d(3 + 3d)) = 4 + 3x + 6y
2((-3 + -3d) + D(3 + 3d) + d(3 + 3d)) = 4 + 3x + 6y
2(-3 + -3d + (3 * D + 3d * D) + d(3 + 3d)) = 4 + 3x + 6y
2(-3 + -3d + (3D + 3dD) + d(3 + 3d)) = 4 + 3x + 6y
2(-3 + -3d + 3D + 3dD + (3 * d + 3d * d)) = 4 + 3x + 6y
2(-3 + -3d + 3D + 3dD + (3d + 3d2)) = 4 + 3x + 6y

Reorder the terms:
2(-3 + 3D + -3d + 3d + 3dD + 3d2) = 4 + 3x + 6y

Combine like terms: -3d + 3d = 0
2(-3 + 3D + 0 + 3dD + 3d2) = 4 + 3x + 6y
2(-3 + 3D + 3dD + 3d2) = 4 + 3x + 6y
(-3 * 2 + 3D * 2 + 3dD * 2 + 3d2 * 2) = 4 + 3x + 6y
(-6 + 6D + 6dD + 6d2) = 4 + 3x + 6y

Solving
-6 + 6D + 6dD + 6d2 = 4 + 3x + 6y

Solving for variable 'D'.

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

Add '6' to each side of the equation.
-6 + 6D + 6dD + 6 + 6d2 = 4 + 3x + 6 + 6y

Reorder the terms:
-6 + 6 + 6D + 6dD + 6d2 = 4 + 3x + 6 + 6y

Combine like terms: -6 + 6 = 0
0 + 6D + 6dD + 6d2 = 4 + 3x + 6 + 6y
6D + 6dD + 6d2 = 4 + 3x + 6 + 6y

Reorder the terms:
6D + 6dD + 6d2 = 4 + 6 + 3x + 6y

Combine like terms: 4 + 6 = 10
6D + 6dD + 6d2 = 10 + 3x + 6y

Add '-6d2' to each side of the equation.
6D + 6dD + 6d2 + -6d2 = 10 + 3x + -6d2 + 6y

Combine like terms: 6d2 + -6d2 = 0
6D + 6dD + 0 = 10 + 3x + -6d2 + 6y
6D + 6dD = 10 + 3x + -6d2 + 6y

Reorder the terms:
6D + 6dD = 10 + -6d2 + 3x + 6y

Reorder the terms:
-10 + 6D + 6dD + 6d2 + -3x + -6y = 10 + -6d2 + 3x + 6y + -10 + 6d2 + -3x + -6y

Reorder the terms:
-10 + 6D + 6dD + 6d2 + -3x + -6y = 10 + -10 + -6d2 + 6d2 + 3x + -3x + 6y + -6y

Combine like terms: 10 + -10 = 0
-10 + 6D + 6dD + 6d2 + -3x + -6y = 0 + -6d2 + 6d2 + 3x + -3x + 6y + -6y
-10 + 6D + 6dD + 6d2 + -3x + -6y = -6d2 + 6d2 + 3x + -3x + 6y + -6y

Combine like terms: -6d2 + 6d2 = 0
-10 + 6D + 6dD + 6d2 + -3x + -6y = 0 + 3x + -3x + 6y + -6y
-10 + 6D + 6dD + 6d2 + -3x + -6y = 3x + -3x + 6y + -6y

Combine like terms: 3x + -3x = 0
-10 + 6D + 6dD + 6d2 + -3x + -6y = 0 + 6y + -6y
-10 + 6D + 6dD + 6d2 + -3x + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
-10 + 6D + 6dD + 6d2 + -3x + -6y = 0

The solution to this equation could not be determined.

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