d^6+4d^5c-45d^4c^2=0

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Solution for d^6+4d^5c-45d^4c^2=0 equation: 


Simplifying
d6 + 4d5c + -45d4c2 = 0

Reorder the terms:
4cd5 + -45c2d4 + d6 = 0

Solving
4cd5 + -45c2d4 + d6 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'd4'.
d4(4cd + -45c2 + d2) = 0

Factor a trinomial.
d4((-9c + -1d)(5c + -1d)) = 0


Subproblem 1
Set the factor 'd4' equal to zero and attempt to solve:

Simplifying
d4 = 0

Solving
d4 = 0

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

Add '-1d4' to each side of the equation.
d4 + -1d4 = 0 + -1d4
Remove the zero:
0 = -1d4

Simplifying
0 = -1d4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-9c + -1d)' equal to zero and attempt to solve:

Simplifying
-9c + -1d = 0

Solving
-9c + -1d = 0

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

Add 'd' to each side of the equation.
-9c + -1d + d = 0 + d

Combine like terms: -1d + d = 0
-9c + 0 = 0 + d
-9c = 0 + d
Remove the zero:
-9c = d

Divide each side by '-9'.
c = -0.1111111111d

Simplifying
c = -0.1111111111d

Subproblem 3
Set the factor '(5c + -1d)' equal to zero and attempt to solve:

Simplifying
5c + -1d = 0

Solving
5c + -1d = 0

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

Add 'd' to each side of the equation.
5c + -1d + d = 0 + d

Combine like terms: -1d + d = 0
5c + 0 = 0 + d
5c = 0 + d
Remove the zero:
5c = d

Divide each side by '5'.
c = 0.2d

Simplifying
c = 0.2d
Solution
c = {-0.1111111111d, 0.2d}

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