4x^2+6=38

Solution for 4x^2+6=38 equation:

Simplifying
4x2 + 6 = 38

Reorder the terms:
6 + 4x2 = 38

Solving
6 + 4x2 = 38

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x2 = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 4x2 = 38 + -6
4x2 = 38 + -6

Combine like terms: 38 + -6 = 32
4x2 = 32

Divide each side by '4'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}