8a^2+61a+35=0

Solution for 8a^2+61a+35=0 equation:

Simplifying
8a2 + 61a + 35 = 0

Reorder the terms:
35 + 61a + 8a2 = 0

Solving
35 + 61a + 8a2 = 0

Solving for variable 'a'.

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

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

Simplifying
7 + a = 0

Solving
7 + a = 0

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

Add '-7' to each side of the equation.
7 + -7 + a = 0 + -7

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

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

Simplifying
a = -7
Subproblem 2
Set the factor '(5 + 8a)' equal to zero and attempt to solve:

Simplifying
5 + 8a = 0

Solving
5 + 8a = 0

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

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

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

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

Divide each side by '8'.
a = -0.625

Simplifying
a = -0.625
Solution
a = {-7, -0.625}