72a^2+35a+3=

Solution for 72a^2+35a+3= equation:

Simplifying
72a2 + 35a + 3 = 0

Reorder the terms:
3 + 35a + 72a2 = 0

Solving
3 + 35a + 72a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3 + 8a)(1 + 9a) = 0

Subproblem 1
Set the factor '(3 + 8a)' equal to zero and attempt to solve:

Simplifying
3 + 8a = 0

Solving
3 + 8a = 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 + 8a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8a = 0 + -3
8a = 0 + -3

Combine like terms: 0 + -3 = -3
8a = -3

Divide each side by '8'.
a = -0.375

Simplifying
a = -0.375
Subproblem 2
Set the factor '(1 + 9a)' equal to zero and attempt to solve:

Simplifying
1 + 9a = 0

Solving
1 + 9a = 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 + 9a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9a = 0 + -1
9a = 0 + -1

Combine like terms: 0 + -1 = -1
9a = -1

Divide each side by '9'.
a = -0.1111111111

Simplifying
a = -0.1111111111
Solution
a = {-0.375, -0.1111111111}