3(e^2+3)=10

Solution for 3(e^2+3)=10 equation:

Simplifying
3(e2 + 3) = 10

Reorder the terms:
3(3 + e2) = 10
(3 * 3 + e2 * 3) = 10
(9 + 3e2) = 10

Solving
9 + 3e2 = 10

Solving for variable 'e'.

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

Add '-9' to each side of the equation.
9 + -9 + 3e2 = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 3e2 = 10 + -9
3e2 = 10 + -9

Combine like terms: 10 + -9 = 1
3e2 = 1

Divide each side by '3'.
e2 = 0.3333333333

Simplifying
e2 = 0.3333333333

Take the square root of each side:
e = {-0.577350269, 0.577350269}