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

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


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

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

Reorder the terms:
((6cd + 9c2) + -3d * (3c + 2d)) = 0
((6cd + 9c2) + -3d * (3c + 2d)) = 0
(6cd + 9c2 + (3c * -3d + 2d * -3d)) = 0
(6cd + 9c2 + (-9cd + -6d2)) = 0

Reorder the terms:
(6cd + -9cd + 9c2 + -6d2) = 0

Combine like terms: 6cd + -9cd = -3cd
(-3cd + 9c2 + -6d2) = 0

Solving
-3cd + 9c2 + -6d2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1cd + 3c2 + -2d2) = 0

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

Ignore the factor 3.

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 '(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
Solution
c = {d, -0.6666666667d}

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