3a^2-10-32=0

Solution for 3a^2-10-32=0 equation:

Simplifying
3a2 + -10 + -32 = 0

Reorder the terms:
-10 + -32 + 3a2 = 0

Combine like terms: -10 + -32 = -42
-42 + 3a2 = 0

Solving
-42 + 3a2 = 0

Solving for variable 'a'.

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

Add '42' to each side of the equation.
-42 + 42 + 3a2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 3a2 = 0 + 42
3a2 = 0 + 42

Combine like terms: 0 + 42 = 42
3a2 = 42

Divide each side by '3'.
a2 = 14

Simplifying
a2 = 14

Take the square root of each side:
a = {-3.741657387, 3.741657387}