(3c-2d)(2c+d)=

Solution for (3c-2d)(2c+d)= equation:

Simplifying
(3c + -2d)(2c + d) = 0

Multiply (3c + -2d) * (2c + d)
(3c * (2c + d) + -2d * (2c + d)) = 0
((2c * 3c + d * 3c) + -2d * (2c + d)) = 0

Reorder the terms:
((3cd + 6c2) + -2d * (2c + d)) = 0
((3cd + 6c2) + -2d * (2c + d)) = 0
(3cd + 6c2 + (2c * -2d + d * -2d)) = 0
(3cd + 6c2 + (-4cd + -2d2)) = 0

Reorder the terms:
(3cd + -4cd + 6c2 + -2d2) = 0

Combine like terms: 3cd + -4cd = -1cd
(-1cd + 6c2 + -2d2) = 0

Solving
-1cd + 6c2 + -2d2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(3c + -2d)' equal to zero and attempt to solve:

Simplifying
3c + -2d = 0

Solving
3c + -2d = 0

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

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

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

Divide each side by '3'.
c = 0.6666666667d

Simplifying
c = 0.6666666667d
Subproblem 2
Set the factor '(2c + d)' equal to zero and attempt to solve:

Simplifying
2c + d = 0

Solving
2c + d = 0

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

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

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

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

Simplifying
c = -0.5d
Solution
c = {0.6666666667d, -0.5d}