5c^2-24cd-5d^2=0

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Solution for 5c^2-24cd-5d^2=0 equation: 


Simplifying
5c2 + -24cd + -5d2 = 0

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

Solving
-24cd + 5c2 + -5d2 = 0

Solving for variable 'c'.

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


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

Simplifying
c + -5d = 0

Solving
c + -5d = 0

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

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

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

Simplifying
c = 5d

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 = {5d, -0.2d}

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