(3d-4e)(8c+2d)=

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Solution for (3d-4e)(8c+2d)= equation: 


Simplifying
(3d + -4e)(8c + 2d) = 0

Multiply (3d + -4e) * (8c + 2d)
(3d * (8c + 2d) + -4e * (8c + 2d)) = 0
((8c * 3d + 2d * 3d) + -4e * (8c + 2d)) = 0
((24cd + 6d2) + -4e * (8c + 2d)) = 0
(24cd + 6d2 + (8c * -4e + 2d * -4e)) = 0
(24cd + 6d2 + (-32ce + -8de)) = 0

Reorder the terms:
(24cd + -32ce + -8de + 6d2) = 0
(24cd + -32ce + -8de + 6d2) = 0

Solving
24cd + -32ce + -8de + 6d2 = 0

Solving for variable 'c'.

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

Add '8de' to each side of the equation.
24cd + -32ce + -8de + 8de + 6d2 = 0 + 8de

Combine like terms: -8de + 8de = 0
24cd + -32ce + 0 + 6d2 = 0 + 8de
24cd + -32ce + 6d2 = 0 + 8de
Remove the zero:
24cd + -32ce + 6d2 = 8de

Add '-6d2' to each side of the equation.
24cd + -32ce + 6d2 + -6d2 = 8de + -6d2

Combine like terms: 6d2 + -6d2 = 0
24cd + -32ce + 0 = 8de + -6d2
24cd + -32ce = 8de + -6d2

Reorder the terms:
24cd + -32ce + -8de + 6d2 = 8de + -8de + -6d2 + 6d2

Combine like terms: 8de + -8de = 0
24cd + -32ce + -8de + 6d2 = 0 + -6d2 + 6d2
24cd + -32ce + -8de + 6d2 = -6d2 + 6d2

Combine like terms: -6d2 + 6d2 = 0
24cd + -32ce + -8de + 6d2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12cd + -16ce + -4de + 3d2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12cd + -16ce + -4de + 3d2)' equal to zero and attempt to solve:

Simplifying
12cd + -16ce + -4de + 3d2 = 0

Solving
12cd + -16ce + -4de + 3d2 = 0

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

Add '4de' to each side of the equation.
12cd + -16ce + -4de + 4de + 3d2 = 0 + 4de

Combine like terms: -4de + 4de = 0
12cd + -16ce + 0 + 3d2 = 0 + 4de
12cd + -16ce + 3d2 = 0 + 4de
Remove the zero:
12cd + -16ce + 3d2 = 4de

Add '-3d2' to each side of the equation.
12cd + -16ce + 3d2 + -3d2 = 4de + -3d2

Combine like terms: 3d2 + -3d2 = 0
12cd + -16ce + 0 = 4de + -3d2
12cd + -16ce = 4de + -3d2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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