c^2-5cd-50d^2=0

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Solution for c^2-5cd-50d^2=0 equation: 


Simplifying
c2 + -5cd + -50d2 = 0

Reorder the terms:
-5cd + c2 + -50d2 = 0

Solving
-5cd + c2 + -50d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -10d)(c + 5d) = 0


Subproblem 1
Set the factor '(c + -10d)' equal to zero and attempt to solve:

Simplifying
c + -10d = 0

Solving
c + -10d = 0

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

Add '10d' to each side of the equation.
c + -10d + 10d = 0 + 10d

Combine like terms: -10d + 10d = 0
c + 0 = 0 + 10d
c = 0 + 10d
Remove the zero:
c = 10d

Simplifying
c = 10d

Subproblem 2
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
Solution
c = {10d, -5d}

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