=15a^2+11a+2

Solution for =15a^2+11a+2 equation:

Simplifying
0 = 15a2 + 11a + 2

Reorder the terms:
0 = 2 + 11a + 15a2

Solving
0 = 2 + 11a + 15a2

Solving for variable 'a'.

Combine like terms: 0 + -2 = -2
-2 + -11a + -15a2 = 2 + 11a + 15a2 + -2 + -11a + -15a2

Reorder the terms:
-2 + -11a + -15a2 = 2 + -2 + 11a + -11a + 15a2 + -15a2

Combine like terms: 2 + -2 = 0
-2 + -11a + -15a2 = 0 + 11a + -11a + 15a2 + -15a2
-2 + -11a + -15a2 = 11a + -11a + 15a2 + -15a2

Combine like terms: 11a + -11a = 0
-2 + -11a + -15a2 = 0 + 15a2 + -15a2
-2 + -11a + -15a2 = 15a2 + -15a2

Combine like terms: 15a2 + -15a2 = 0
-2 + -11a + -15a2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 11a + 15a2) = 0

Factor a trinomial.
-1((2 + 5a)(1 + 3a)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(2 + 5a)' equal to zero and attempt to solve:

Simplifying
2 + 5a = 0

Solving
2 + 5a = 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 + 5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5a = 0 + -2
5a = 0 + -2

Combine like terms: 0 + -2 = -2
5a = -2

Divide each side by '5'.
a = -0.4

Simplifying
a = -0.4
Subproblem 2
Set the factor '(1 + 3a)' equal to zero and attempt to solve:

Simplifying
1 + 3a = 0

Solving
1 + 3a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3a = 0 + -1
3a = 0 + -1

Combine like terms: 0 + -1 = -1
3a = -1

Divide each side by '3'.
a = -0.3333333333

Simplifying
a = -0.3333333333
Solution
a = {-0.4, -0.3333333333}