9c^4d^8-18c^2d^4-7=0

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Solution for 9c^4d^8-18c^2d^4-7=0 equation: 


Simplifying
9c4d8 + -18c2d4 + -7 = 0

Reorder the terms:
-7 + -18c2d4 + 9c4d8 = 0

Solving
-7 + -18c2d4 + 9c4d8 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -3c2d4)(7 + -3c2d4) = 0


Subproblem 1
Set the factor '(-1 + -3c2d4)' equal to zero and attempt to solve:

Simplifying
-1 + -3c2d4 = 0

Solving
-1 + -3c2d4 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3c2d4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3c2d4 = 0 + 1
-3c2d4 = 0 + 1

Combine like terms: 0 + 1 = 1
-3c2d4 = 1

Divide each side by '-3d4'.
c2 = -0.3333333333d-4

Simplifying
c2 = -0.3333333333d-4

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 '(7 + -3c2d4)' equal to zero and attempt to solve:

Simplifying
7 + -3c2d4 = 0

Solving
7 + -3c2d4 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3c2d4 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3c2d4 = 0 + -7
-3c2d4 = 0 + -7

Combine like terms: 0 + -7 = -7
-3c2d4 = -7

Divide each side by '-3d4'.
c2 = 2.333333333d-4

Simplifying
c2 = 2.333333333d-4

Take the square root of each side:
c = {-1.527525232d-2, 1.527525232d-2}
Solution
c = {-1.527525232d-2, 1.527525232d-2}

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