38=16x^2

Solution for 38=16x^2 equation:

Simplifying
38 = 16x2

Solving
38 = 16x2

Solving for variable 'x'.

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

Add '-16x2' to each side of the equation.
38 + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
38 + -16x2 = 0

Add '-38' to each side of the equation.
38 + -38 + -16x2 = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -16x2 = 0 + -38
-16x2 = 0 + -38

Combine like terms: 0 + -38 = -38
-16x2 = -38

Divide each side by '-16'.
x2 = 2.375

Simplifying
x2 = 2.375

Take the square root of each side:
x = {-1.541103501, 1.541103501}