x*5x-83=0

Solution for x*5x-83=0 equation:

Simplifying
x * 5x + -83 = 0

Reorder the terms for easier multiplication:
5x * x + -83 = 0

Multiply x * x
5x2 + -83 = 0

Reorder the terms:
-83 + 5x2 = 0

Solving
-83 + 5x2 = 0

Solving for variable 'x'.

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

Add '83' to each side of the equation.
-83 + 83 + 5x2 = 0 + 83

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

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

Divide each side by '5'.
x2 = 16.6

Simplifying
x2 = 16.6

Take the square root of each side:
x = {-4.074309757, 4.074309757}