3c^2+19c+28=0

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Solution for 3c^2+19c+28=0 equation: 


Simplifying
3c2 + 19c + 28 = 0

Reorder the terms:
28 + 19c + 3c2 = 0

Solving
28 + 19c + 3c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(4 + c)(7 + 3c) = 0


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

Simplifying
4 + c = 0

Solving
4 + c = 0

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

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

Combine like terms: 4 + -4 = 0
0 + c = 0 + -4
c = 0 + -4

Combine like terms: 0 + -4 = -4
c = -4

Simplifying
c = -4

Subproblem 2
Set the factor '(7 + 3c)' equal to zero and attempt to solve:

Simplifying
7 + 3c = 0

Solving
7 + 3c = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3c = 0 + -7
3c = 0 + -7

Combine like terms: 0 + -7 = -7
3c = -7

Divide each side by '3'.
c = -2.333333333

Simplifying
c = -2.333333333
Solution
c = {-4, -2.333333333}

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