5x^2+3=83

Solution for 5x^2+3=83 equation:

Simplifying
5x2 + 3 = 83

Reorder the terms:
3 + 5x2 = 83

Solving
3 + 5x2 = 83

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 + 5x2 = 83 + -3

Combine like terms: 3 + -3 = 0
0 + 5x2 = 83 + -3
5x2 = 83 + -3

Combine like terms: 83 + -3 = 80
5x2 = 80

Divide each side by '5'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}