7a^2+23a+18=0

Solution for 7a^2+23a+18=0 equation:

Simplifying
7a2 + 23a + 18 = 0

Reorder the terms:
18 + 23a + 7a2 = 0

Solving
18 + 23a + 7a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + a)(9 + 7a) = 0

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

Simplifying
2 + a = 0

Solving
2 + a = 0

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

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

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

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

Simplifying
a = -2
Subproblem 2
Set the factor '(9 + 7a)' equal to zero and attempt to solve:

Simplifying
9 + 7a = 0

Solving
9 + 7a = 0

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

Add '-9' to each side of the equation.
9 + -9 + 7a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7a = 0 + -9
7a = 0 + -9

Combine like terms: 0 + -9 = -9
7a = -9

Divide each side by '7'.
a = -1.285714286

Simplifying
a = -1.285714286
Solution
a = {-2, -1.285714286}