7x^2-8=83

Solution for 7x^2-8=83 equation:

Simplifying
7x2 + -8 = 83

Reorder the terms:
-8 + 7x2 = 83

Solving
-8 + 7x2 = 83

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 7x2 = 83 + 8

Combine like terms: -8 + 8 = 0
0 + 7x2 = 83 + 8
7x2 = 83 + 8

Combine like terms: 83 + 8 = 91
7x2 = 91

Divide each side by '7'.
x2 = 13

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}