3a^2-150=0

Solution for 3a^2-150=0 equation:

Simplifying
3a2 + -150 = 0

Reorder the terms:
-150 + 3a2 = 0

Solving
-150 + 3a2 = 0

Solving for variable 'a'.

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

Add '150' to each side of the equation.
-150 + 150 + 3a2 = 0 + 150

Combine like terms: -150 + 150 = 0
0 + 3a2 = 0 + 150
3a2 = 0 + 150

Combine like terms: 0 + 150 = 150
3a2 = 150

Divide each side by '3'.
a2 = 50

Simplifying
a2 = 50

Take the square root of each side:
a = {-7.071067812, 7.071067812}