3e^2+12=42

Solution for 3e^2+12=42 equation:

Simplifying
3e2 + 12 = 42

Reorder the terms:
12 + 3e2 = 42

Solving
12 + 3e2 = 42

Solving for variable 'e'.

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

Add '-12' to each side of the equation.
12 + -12 + 3e2 = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 3e2 = 42 + -12
3e2 = 42 + -12

Combine like terms: 42 + -12 = 30
3e2 = 30

Divide each side by '3'.
e2 = 10

Simplifying
e2 = 10

Take the square root of each side:
e = {-3.16227766, 3.16227766}