2c^2+cd-3d^2=0

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Solution for 2c^2+cd-3d^2=0 equation: 


Simplifying
2c2 + cd + -3d2 = 0

Reorder the terms:
cd + 2c2 + -3d2 = 0

Solving
cd + 2c2 + -3d2 = 0

Solving for variable 'c'.

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


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

Simplifying
c + -1d = 0

Solving
c + -1d = 0

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

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

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

Simplifying
c = d

Subproblem 2
Set the factor '(2c + 3d)' equal to zero and attempt to solve:

Simplifying
2c + 3d = 0

Solving
2c + 3d = 0

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

Add '-3d' to each side of the equation.
2c + 3d + -3d = 0 + -3d

Combine like terms: 3d + -3d = 0
2c + 0 = 0 + -3d
2c = 0 + -3d
Remove the zero:
2c = -3d

Divide each side by '2'.
c = -1.5d

Simplifying
c = -1.5d
Solution
c = {d, -1.5d}

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