14c^2d^2+15cd-9=0

Solution for 14c^2d^2+15cd-9=0 equation:

Simplifying
14c2d2 + 15cd + -9 = 0

Reorder the terms:
-9 + 15cd + 14c2d2 = 0

Solving
-9 + 15cd + 14c2d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -2cd)(3 + -7cd) = 0

Subproblem 1
Set the factor '(-3 + -2cd)' equal to zero and attempt to solve:

Simplifying
-3 + -2cd = 0

Solving
-3 + -2cd = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2cd = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2cd = 0 + 3
-2cd = 0 + 3

Combine like terms: 0 + 3 = 3
-2cd = 3

Divide each side by '-2d'.
c = -1.5d-1

Simplifying
c = -1.5d-1
Subproblem 2
Set the factor '(3 + -7cd)' equal to zero and attempt to solve:

Simplifying
3 + -7cd = 0

Solving
3 + -7cd = 0

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

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

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

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

Divide each side by '-7d'.
c = 0.4285714286d-1

Simplifying
c = 0.4285714286d-1
Solution
c = {-1.5d-1, 0.4285714286d-1}