4c^2+9c+2=

Solution for 4c^2+9c+2= equation:

Simplifying
4c2 + 9c + 2 = 0

Reorder the terms:
2 + 9c + 4c2 = 0

Solving
2 + 9c + 4c2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(2 + c)' equal to zero and attempt to solve:

Simplifying
2 + c = 0

Solving
2 + c = 0

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

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

Combine like terms: 2 + -2 = 0
0 + c = 0 + -2
c = 0 + -2

Combine like terms: 0 + -2 = -2
c = -2

Simplifying
c = -2
Subproblem 2
Set the factor '(1 + 4c)' equal to zero and attempt to solve:

Simplifying
1 + 4c = 0

Solving
1 + 4c = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4c = 0 + -1
4c = 0 + -1

Combine like terms: 0 + -1 = -1
4c = -1

Divide each side by '4'.
c = -0.25

Simplifying
c = -0.25
Solution
c = {-2, -0.25}