3c^2+23c+40=0

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Solution for 3c^2+23c+40=0 equation: 


Simplifying
3c2 + 23c + 40 = 0

Reorder the terms:
40 + 23c + 3c2 = 0

Solving
40 + 23c + 3c2 = 0

Solving for variable 'c'.

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


Subproblem 1
Set the factor '(5 + c)' equal to zero and attempt to solve:

Simplifying
5 + c = 0

Solving
5 + c = 0

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

Add '-5' to each side of the equation.
5 + -5 + c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + c = 0 + -5
c = 0 + -5

Combine like terms: 0 + -5 = -5
c = -5

Simplifying
c = -5

Subproblem 2
Set the factor '(8 + 3c)' equal to zero and attempt to solve:

Simplifying
8 + 3c = 0

Solving
8 + 3c = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3c = 0 + -8
3c = 0 + -8

Combine like terms: 0 + -8 = -8
3c = -8

Divide each side by '3'.
c = -2.666666667

Simplifying
c = -2.666666667
Solution
c = {-5, -2.666666667}

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