3a^2-4a-64=0

Solution for 3a^2-4a-64=0 equation:

Simplifying
3a2 + -4a + -64 = 0

Reorder the terms:
-64 + -4a + 3a2 = 0

Solving
-64 + -4a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -1a)(16 + -3a) = 0

Subproblem 1
Set the factor '(-4 + -1a)' equal to zero and attempt to solve:

Simplifying
-4 + -1a = 0

Solving
-4 + -1a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = 0 + 4
-1a = 0 + 4

Combine like terms: 0 + 4 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4
Subproblem 2
Set the factor '(16 + -3a)' equal to zero and attempt to solve:

Simplifying
16 + -3a = 0

Solving
16 + -3a = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3a = 0 + -16
-3a = 0 + -16

Combine like terms: 0 + -16 = -16
-3a = -16

Divide each side by '-3'.
a = 5.333333333

Simplifying
a = 5.333333333
Solution
a = {-4, 5.333333333}