3=5x^2+1

Solution for 3=5x^2+1 equation:

Simplifying
3 = 5x2 + 1

Reorder the terms:
3 = 1 + 5x2

Solving
3 = 1 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
3 + -5x2 = 1 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
3 + -5x2 = 1 + 0
3 + -5x2 = 1

Add '-3' to each side of the equation.
3 + -3 + -5x2 = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -5x2 = 1 + -3
-5x2 = 1 + -3

Combine like terms: 1 + -3 = -2
-5x2 = -2

Divide each side by '-5'.
x2 = 0.4

Simplifying
x2 = 0.4

Take the square root of each side:
x = {-0.632455532, 0.632455532}