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

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


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

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

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

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

Combine like terms: 24cd + 2cd = 26cd
(26cd + 16c2 + 3d2) = 0

Solving
26cd + 16c2 + 3d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(8c + d)(2c + 3d) = 0


Subproblem 1
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

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 = {-0.125d, -1.5d}

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