(4x+c)(x+3c)=

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Solution for (4x+c)(x+3c)= equation: 


Simplifying
(4x + c)(x + 3c) = 0

Reorder the terms:
(c + 4x)(x + 3c) = 0

Reorder the terms:
(c + 4x)(3c + x) = 0

Multiply (c + 4x) * (3c + x)
(c(3c + x) + 4x * (3c + x)) = 0
((3c * c + x * c) + 4x * (3c + x)) = 0

Reorder the terms:
((cx + 3c2) + 4x * (3c + x)) = 0
((cx + 3c2) + 4x * (3c + x)) = 0
(cx + 3c2 + (3c * 4x + x * 4x)) = 0
(cx + 3c2 + (12cx + 4x2)) = 0

Reorder the terms:
(cx + 12cx + 3c2 + 4x2) = 0

Combine like terms: cx + 12cx = 13cx
(13cx + 3c2 + 4x2) = 0

Solving
13cx + 3c2 + 4x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3c + x)(c + 4x) = 0


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

Simplifying
3c + x = 0

Solving
3c + x = 0

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

Add '-1x' to each side of the equation.
3c + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
3c + 0 = 0 + -1x
3c = 0 + -1x
Remove the zero:
3c = -1x

Divide each side by '3'.
c = -0.3333333333x

Simplifying
c = -0.3333333333x

Subproblem 2
Set the factor '(c + 4x)' equal to zero and attempt to solve:

Simplifying
c + 4x = 0

Solving
c + 4x = 0

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

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

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

Simplifying
c = -4x
Solution
c = {-0.3333333333x, -4x}

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