-3a^2-8a=-11

Solution for -3a^2-8a=-11 equation:

Simplifying
-3a2 + -8a = -11

Reorder the terms:
-8a + -3a2 = -11

Solving
-8a + -3a2 = -11

Solving for variable 'a'.

Reorder the terms:
11 + -8a + -3a2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + -8a + -3a2 = 0

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

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

Simplifying
1 + -1a = 0

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

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

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

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Subproblem 2
Set the factor '(11 + 3a)' equal to zero and attempt to solve:

Simplifying
11 + 3a = 0

Solving
11 + 3a = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3a = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3a = 0 + -11
3a = 0 + -11

Combine like terms: 0 + -11 = -11
3a = -11

Divide each side by '3'.
a = -3.666666667

Simplifying
a = -3.666666667
Solution
a = {1, -3.666666667}