15c^2-32cd-7d^2=

Solution for 15c^2-32cd-7d^2= equation:

Simplifying
15c2 + -32cd + -7d2 = 0

Reorder the terms:
-32cd + 15c2 + -7d2 = 0

Solving
-32cd + 15c2 + -7d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3c + -7d)(5c + d) = 0

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

Simplifying
3c + -7d = 0

Solving
3c + -7d = 0

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

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

Combine like terms: -7d + 7d = 0
3c + 0 = 0 + 7d
3c = 0 + 7d
Remove the zero:
3c = 7d

Divide each side by '3'.
c = 2.333333333d

Simplifying
c = 2.333333333d
Subproblem 2
Set the factor '(5c + d)' equal to zero and attempt to solve:

Simplifying
5c + d = 0

Solving
5c + d = 0

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

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

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

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

Simplifying
c = -0.2d
Solution
c = {2.333333333d, -0.2d}