(4c-3d)(8c+d)=

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Solution for (4c-3d)(8c+d)= equation: 


Simplifying
(4c + -3d)(8c + d) = 0

Multiply (4c + -3d) * (8c + d)
(4c * (8c + d) + -3d * (8c + d)) = 0
((8c * 4c + d * 4c) + -3d * (8c + d)) = 0

Reorder the terms:
((4cd + 32c2) + -3d * (8c + d)) = 0
((4cd + 32c2) + -3d * (8c + d)) = 0
(4cd + 32c2 + (8c * -3d + d * -3d)) = 0
(4cd + 32c2 + (-24cd + -3d2)) = 0

Reorder the terms:
(4cd + -24cd + 32c2 + -3d2) = 0

Combine like terms: 4cd + -24cd = -20cd
(-20cd + 32c2 + -3d2) = 0

Solving
-20cd + 32c2 + -3d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(4c + -3d)(8c + d) = 0


Subproblem 1
Set the factor '(4c + -3d)' equal to zero and attempt to solve:

Simplifying
4c + -3d = 0

Solving
4c + -3d = 0

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

Add '3d' to each side of the equation.
4c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0
4c + 0 = 0 + 3d
4c = 0 + 3d
Remove the zero:
4c = 3d

Divide each side by '4'.
c = 0.75d

Simplifying
c = 0.75d

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 = {0.75d, -0.125d}

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