12c^2+43c+35=0

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Solution for 12c^2+43c+35=0 equation: 


Simplifying
12c2 + 43c + 35 = 0

Reorder the terms:
35 + 43c + 12c2 = 0

Solving
35 + 43c + 12c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(7 + 3c)(5 + 4c) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + 4c)' equal to zero and attempt to solve:

Simplifying
5 + 4c = 0

Solving
5 + 4c = 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 + 4c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4c = 0 + -5
4c = 0 + -5

Combine like terms: 0 + -5 = -5
4c = -5

Divide each side by '4'.
c = -1.25

Simplifying
c = -1.25
Solution
c = {-2.333333333, -1.25}

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