55a^2+28a-3=0

Solution for 55a^2+28a-3=0 equation:

Simplifying
55a2 + 28a + -3 = 0

Reorder the terms:
-3 + 28a + 55a2 = 0

Solving
-3 + 28a + 55a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -5a)(1 + -11a) = 0

Subproblem 1
Set the factor '(-3 + -5a)' equal to zero and attempt to solve:

Simplifying
-3 + -5a = 0

Solving
-3 + -5a = 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 + -5a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5a = 0 + 3
-5a = 0 + 3

Combine like terms: 0 + 3 = 3
-5a = 3

Divide each side by '-5'.
a = -0.6

Simplifying
a = -0.6
Subproblem 2
Set the factor '(1 + -11a)' equal to zero and attempt to solve:

Simplifying
1 + -11a = 0

Solving
1 + -11a = 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 + -11a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11a = 0 + -1
-11a = 0 + -1

Combine like terms: 0 + -1 = -1
-11a = -1

Divide each side by '-11'.
a = 0.09090909091

Simplifying
a = 0.09090909091
Solution
a = {-0.6, 0.09090909091}