D(d+3)-d(d-4)=9d-16

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Solution for D(d+3)-d(d-4)=9d-16 equation:


Simplifying
D(d + 3) + -1d(d + -4) = 9d + -16

Reorder the terms:
D(3 + d) + -1d(d + -4) = 9d + -16
(3 * D + d * D) + -1d(d + -4) = 9d + -16
(3D + dD) + -1d(d + -4) = 9d + -16

Reorder the terms:
3D + dD + -1d(-4 + d) = 9d + -16
3D + dD + (-4 * -1d + d * -1d) = 9d + -16
3D + dD + (4d + -1d2) = 9d + -16

Reorder the terms:
3D + 4d + dD + -1d2 = 9d + -16

Reorder the terms:
3D + 4d + dD + -1d2 = -16 + 9d

Solving
3D + 4d + dD + -1d2 = -16 + 9d

Solving for variable 'D'.

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

Add '-4d' to each side of the equation.
3D + 4d + dD + -4d + -1d2 = -16 + 9d + -4d

Reorder the terms:
3D + 4d + -4d + dD + -1d2 = -16 + 9d + -4d

Combine like terms: 4d + -4d = 0
3D + 0 + dD + -1d2 = -16 + 9d + -4d
3D + dD + -1d2 = -16 + 9d + -4d

Combine like terms: 9d + -4d = 5d
3D + dD + -1d2 = -16 + 5d

Add 'd2' to each side of the equation.
3D + dD + -1d2 + d2 = -16 + 5d + d2

Combine like terms: -1d2 + d2 = 0
3D + dD + 0 = -16 + 5d + d2
3D + dD = -16 + 5d + d2

Reorder the terms:
16 + 3D + -5d + dD + -1d2 = -16 + 5d + d2 + 16 + -5d + -1d2

Reorder the terms:
16 + 3D + -5d + dD + -1d2 = -16 + 16 + 5d + -5d + d2 + -1d2

Combine like terms: -16 + 16 = 0
16 + 3D + -5d + dD + -1d2 = 0 + 5d + -5d + d2 + -1d2
16 + 3D + -5d + dD + -1d2 = 5d + -5d + d2 + -1d2

Combine like terms: 5d + -5d = 0
16 + 3D + -5d + dD + -1d2 = 0 + d2 + -1d2
16 + 3D + -5d + dD + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
16 + 3D + -5d + dD + -1d2 = 0

The solution to this equation could not be determined.

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