c^2+5cd-24d^2=

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Solution for c^2+5cd-24d^2= equation: 


Simplifying
c2 + 5cd + -24d2 = 0

Reorder the terms:
5cd + c2 + -24d2 = 0

Solving
5cd + c2 + -24d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -3d)(c + 8d) = 0


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

Simplifying
c + -3d = 0

Solving
c + -3d = 0

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

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

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

Simplifying
c = 3d

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

Simplifying
c + 8d = 0

Solving
c + 8d = 0

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

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

Combine like terms: 8d + -8d = 0
c + 0 = 0 + -8d
c = 0 + -8d
Remove the zero:
c = -8d

Simplifying
c = -8d
Solution
c = {3d, -8d}

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