35a^2-86a+48=0

Solution for 35a^2-86a+48=0 equation:

Simplifying
35a2 + -86a + 48 = 0

Reorder the terms:
48 + -86a + 35a2 = 0

Solving
48 + -86a + 35a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(6 + -7a)(8 + -5a) = 0

Subproblem 1
Set the factor '(6 + -7a)' equal to zero and attempt to solve:

Simplifying
6 + -7a = 0

Solving
6 + -7a = 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 + -7a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7a = 0 + -6
-7a = 0 + -6

Combine like terms: 0 + -6 = -6
-7a = -6

Divide each side by '-7'.
a = 0.8571428571

Simplifying
a = 0.8571428571
Subproblem 2
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
Solution
a = {0.8571428571, 1.6}