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

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


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

Multiply (c + 2d) * (-3c + -4d)
(c(-3c + -4d) + 2d * (-3c + -4d)) = 0
((-3c * c + -4d * c) + 2d * (-3c + -4d)) = 0

Reorder the terms:
((-4cd + -3c2) + 2d * (-3c + -4d)) = 0
((-4cd + -3c2) + 2d * (-3c + -4d)) = 0
(-4cd + -3c2 + (-3c * 2d + -4d * 2d)) = 0
(-4cd + -3c2 + (-6cd + -8d2)) = 0

Reorder the terms:
(-4cd + -6cd + -3c2 + -8d2) = 0

Combine like terms: -4cd + -6cd = -10cd
(-10cd + -3c2 + -8d2) = 0

Solving
-10cd + -3c2 + -8d2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10cd + 3c2 + 8d2) = 0

Factor a trinomial.
-1((3c + 4d)(c + 2d)) = 0

Ignore the factor -1.

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

Simplifying
3c + 4d = 0

Solving
3c + 4d = 0

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

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

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

Divide each side by '3'.
c = -1.333333333d

Simplifying
c = -1.333333333d

Subproblem 2
Set the factor '(c + 2d)' equal to zero and attempt to solve:

Simplifying
c + 2d = 0

Solving
c + 2d = 0

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

Add '-2d' to each side of the equation.
c + 2d + -2d = 0 + -2d

Combine like terms: 2d + -2d = 0
c + 0 = 0 + -2d
c = 0 + -2d
Remove the zero:
c = -2d

Simplifying
c = -2d
Solution
c = {-1.333333333d, -2d}

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