9a^2+25a-6=0

Solution for 9a^2+25a-6=0 equation:

Simplifying
9a2 + 25a + -6 = 0

Reorder the terms:
-6 + 25a + 9a2 = 0

Solving
-6 + 25a + 9a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -1a)(2 + -9a) = 0

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

Simplifying
-3 + -1a = 0

Solving
-3 + -1a = 0

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

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

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

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

Divide each side by '-1'.
a = -3

Simplifying
a = -3
Subproblem 2
Set the factor '(2 + -9a)' equal to zero and attempt to solve:

Simplifying
2 + -9a = 0

Solving
2 + -9a = 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 + -9a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9a = 0 + -2
-9a = 0 + -2

Combine like terms: 0 + -2 = -2
-9a = -2

Divide each side by '-9'.
a = 0.2222222222

Simplifying
a = 0.2222222222
Solution
a = {-3, 0.2222222222}