16x^2-3=78

Solution for 16x^2-3=78 equation:

Simplifying
16x2 + -3 = 78

Reorder the terms:
-3 + 16x2 = 78

Solving
-3 + 16x2 = 78

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 16x2 = 78 + 3

Combine like terms: -3 + 3 = 0
0 + 16x2 = 78 + 3
16x2 = 78 + 3

Combine like terms: 78 + 3 = 81
16x2 = 81

Divide each side by '16'.
x2 = 5.0625

Simplifying
x2 = 5.0625

Take the square root of each side:
x = {-2.25, 2.25}