12c^2-17cd-5d^2=0

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Solution for 12c^2-17cd-5d^2=0 equation: 


Simplifying
12c2 + -17cd + -5d2 = 0

Reorder the terms:
-17cd + 12c2 + -5d2 = 0

Solving
-17cd + 12c2 + -5d2 = 0

Solving for variable 'c'.

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


Subproblem 1
Set the factor '(3c + -5d)' equal to zero and attempt to solve:

Simplifying
3c + -5d = 0

Solving
3c + -5d = 0

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

Add '5d' to each side of the equation.
3c + -5d + 5d = 0 + 5d

Combine like terms: -5d + 5d = 0
3c + 0 = 0 + 5d
3c = 0 + 5d
Remove the zero:
3c = 5d

Divide each side by '3'.
c = 1.666666667d

Simplifying
c = 1.666666667d

Subproblem 2
Set the factor '(4c + d)' equal to zero and attempt to solve:

Simplifying
4c + d = 0

Solving
4c + d = 0

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

Add '-1d' to each side of the equation.
4c + d + -1d = 0 + -1d

Combine like terms: d + -1d = 0
4c + 0 = 0 + -1d
4c = 0 + -1d
Remove the zero:
4c = -1d

Divide each side by '4'.
c = -0.25d

Simplifying
c = -0.25d
Solution
c = {1.666666667d, -0.25d}

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