2x^2+64=1600

Solution for 2x^2+64=1600 equation:

Simplifying
2x2 + 64 = 1600

Reorder the terms:
64 + 2x2 = 1600

Solving
64 + 2x2 = 1600

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + 2x2 = 1600 + -64

Combine like terms: 64 + -64 = 0
0 + 2x2 = 1600 + -64
2x2 = 1600 + -64

Combine like terms: 1600 + -64 = 1536
2x2 = 1536

Divide each side by '2'.
x2 = 768

Simplifying
x2 = 768

Take the square root of each side:
x = {-27.712812921, 27.712812921}