(25-3d-3j)d-d=0

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Solution for (25-3d-3j)d-d=0 equation: 


Simplifying
(25 + -3d + -3j) * d + -1d = 0

Reorder the terms for easier multiplication:
d(25 + -3d + -3j) + -1d = 0
(25 * d + -3d * d + -3j * d) + -1d = 0

Reorder the terms:
(25d + -3dj + -3d2) + -1d = 0
(25d + -3dj + -3d2) + -1d = 0

Reorder the terms:
25d + -1d + -3dj + -3d2 = 0

Combine like terms: 25d + -1d = 24d
24d + -3dj + -3d2 = 0

Solving
24d + -3dj + -3d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3d'.
3d(8 + -1j + -1d) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(8 + -1j + -1d)' equal to zero and attempt to solve:

Simplifying
8 + -1j + -1d = 0

Reorder the terms:
8 + -1d + -1j = 0

Solving
8 + -1d + -1j = 0

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

Add '-8' to each side of the equation.
8 + -1d + -8 + -1j = 0 + -8

Reorder the terms:
8 + -8 + -1d + -1j = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1d + -1j = 0 + -8
-1d + -1j = 0 + -8

Combine like terms: 0 + -8 = -8
-1d + -1j = -8

Add 'j' to each side of the equation.
-1d + -1j + j = -8 + j

Combine like terms: -1j + j = 0
-1d + 0 = -8 + j
-1d = -8 + j

Divide each side by '-1'.
d = 8 + -1j

Simplifying
d = 8 + -1j
Solution
d = {0, 8 + -1j}

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