15a^2+38a+26=2

Solution for 15a^2+38a+26=2 equation:

Simplifying
15a2 + 38a + 26 = 2

Reorder the terms:
26 + 38a + 15a2 = 2

Solving
26 + 38a + 15a2 = 2

Solving for variable 'a'.

Reorder the terms:
26 + -2 + 38a + 15a2 = 2 + -2

Combine like terms: 26 + -2 = 24
24 + 38a + 15a2 = 2 + -2

Combine like terms: 2 + -2 = 0
24 + 38a + 15a2 = 0

Factor a trinomial.
(4 + 3a)(6 + 5a) = 0

Subproblem 1
Set the factor '(4 + 3a)' equal to zero and attempt to solve:

Simplifying
4 + 3a = 0

Solving
4 + 3a = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = 0 + -4
3a = 0 + -4

Combine like terms: 0 + -4 = -4
3a = -4

Divide each side by '3'.
a = -1.333333333

Simplifying
a = -1.333333333
Subproblem 2
Set the factor '(6 + 5a)' equal to zero and attempt to solve:

Simplifying
6 + 5a = 0

Solving
6 + 5a = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 0 + -6
5a = 0 + -6

Combine like terms: 0 + -6 = -6
5a = -6

Divide each side by '5'.
a = -1.2

Simplifying
a = -1.2
Solution
a = {-1.333333333, -1.2}