3c^2-13c-16d^2=

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Solution for 3c^2-13c-16d^2= equation: 


Simplifying
3c2 + -13c + -16d2 = 0

Reorder the terms:
-13c + 3c2 + -16d2 = 0

Solving
-13c + 3c2 + -16d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3c + -16d)(c + d) = 0


Subproblem 1
Set the factor '(3c + -16d)' equal to zero and attempt to solve:

Simplifying
3c + -16d = 0

Solving
3c + -16d = 0

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

Add '16d' to each side of the equation.
3c + -16d + 16d = 0 + 16d

Combine like terms: -16d + 16d = 0
3c + 0 = 0 + 16d
3c = 0 + 16d
Remove the zero:
3c = 16d

Divide each side by '3'.
c = 5.333333333d

Simplifying
c = 5.333333333d

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

Simplifying
c + d = 0

Solving
c + d = 0

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

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

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

Simplifying
c = -1d
Solution
c = {5.333333333d, -1d}

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