2x^2-1954=16478

Solution for 2x^2-1954=16478 equation:

Simplifying
2x2 + -1954 = 16478

Reorder the terms:
-1954 + 2x2 = 16478

Solving
-1954 + 2x2 = 16478

Solving for variable 'x'.

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

Add '1954' to each side of the equation.
-1954 + 1954 + 2x2 = 16478 + 1954

Combine like terms: -1954 + 1954 = 0
0 + 2x2 = 16478 + 1954
2x2 = 16478 + 1954

Combine like terms: 16478 + 1954 = 18432
2x2 = 18432

Divide each side by '2'.
x2 = 9216

Simplifying
x2 = 9216

Take the square root of each side:
x = {-96, 96}