6c^2+5cd-4d^2=

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Solution for 6c^2+5cd-4d^2= equation:


Simplifying
6c2 + 5cd + -4d2 = 0

Reorder the terms:
5cd + 6c2 + -4d2 = 0

Solving
5cd + 6c2 + -4d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2c + -1d)(3c + 4d) = 0


Subproblem 1
Set the factor '(2c + -1d)' equal to zero and attempt to solve:

Simplifying
2c + -1d = 0

Solving
2c + -1d = 0

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

Add 'd' to each side of the equation.
2c + -1d + d = 0 + d

Combine like terms: -1d + d = 0
2c + 0 = 0 + d
2c = 0 + d
Remove the zero:
2c = d

Divide each side by '2'.
c = 0.5d

Simplifying
c = 0.5d

Subproblem 2
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
Solution
c = {0.5d, -1.333333333d}

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