25a^2+10a-48=0

Solution for 25a^2+10a-48=0 equation:

Simplifying
25a2 + 10a + -48 = 0

Reorder the terms:
-48 + 10a + 25a2 = 0

Solving
-48 + 10a + 25a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-8 + -5a)(6 + -5a) = 0

Subproblem 1
Set the factor '(-8 + -5a)' equal to zero and attempt to solve:

Simplifying
-8 + -5a = 0

Solving
-8 + -5a = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5a = 0 + 8
-5a = 0 + 8

Combine like terms: 0 + 8 = 8
-5a = 8

Divide each side by '-5'.
a = -1.6

Simplifying
a = -1.6
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 = {-1.6, 1.2}