(3c-2d)(8c+d)=

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Solution for (3c-2d)(8c+d)= equation: 


Simplifying
(3c + -2d)(8c + d) = 0

Multiply (3c + -2d) * (8c + d)
(3c * (8c + d) + -2d * (8c + d)) = 0
((8c * 3c + d * 3c) + -2d * (8c + d)) = 0

Reorder the terms:
((3cd + 24c2) + -2d * (8c + d)) = 0
((3cd + 24c2) + -2d * (8c + d)) = 0
(3cd + 24c2 + (8c * -2d + d * -2d)) = 0
(3cd + 24c2 + (-16cd + -2d2)) = 0

Reorder the terms:
(3cd + -16cd + 24c2 + -2d2) = 0

Combine like terms: 3cd + -16cd = -13cd
(-13cd + 24c2 + -2d2) = 0

Solving
-13cd + 24c2 + -2d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3c + -2d)(8c + 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 '(8c + d)' equal to zero and attempt to solve:

Simplifying
8c + d = 0

Solving
8c + d = 0

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

Add '-1d' to each side of the equation.
8c + d + -1d = 0 + -1d

Combine like terms: d + -1d = 0
8c + 0 = 0 + -1d
8c = 0 + -1d
Remove the zero:
8c = -1d

Divide each side by '8'.
c = -0.125d

Simplifying
c = -0.125d
Solution
c = {0.6666666667d, -0.125d}

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