15c^2-17cd-4d^2=0

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Solution for 15c^2-17cd-4d^2=0 equation: 


Simplifying
15c2 + -17cd + -4d2 = 0

Reorder the terms:
-17cd + 15c2 + -4d2 = 0

Solving
-17cd + 15c2 + -4d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3c + -4d)(5c + d) = 0


Subproblem 1
Set the factor '(3c + -4d)' equal to zero and attempt to solve:

Simplifying
3c + -4d = 0

Solving
3c + -4d = 0

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

Add '4d' to each side of the equation.
3c + -4d + 4d = 0 + 4d

Combine like terms: -4d + 4d = 0
3c + 0 = 0 + 4d
3c = 0 + 4d
Remove the zero:
3c = 4d

Divide each side by '3'.
c = 1.333333333d

Simplifying
c = 1.333333333d

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 = {1.333333333d, -0.2d}

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