3=5-8x^2

Solution for 3=5-8x^2 equation:

Simplifying
3 = 5 + -8x2

Solving
3 = 5 + -8x2

Solving for variable 'x'.

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

Add '8x2' to each side of the equation.
3 + 8x2 = 5 + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
3 + 8x2 = 5 + 0
3 + 8x2 = 5

Add '-3' to each side of the equation.
3 + -3 + 8x2 = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 8x2 = 5 + -3
8x2 = 5 + -3

Combine like terms: 5 + -3 = 2
8x2 = 2

Divide each side by '8'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}