5x^2-39=51

Solution for 5x^2-39=51 equation:

Simplifying
5x2 + -39 = 51

Reorder the terms:
-39 + 5x2 = 51

Solving
-39 + 5x2 = 51

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + 5x2 = 51 + 39

Combine like terms: -39 + 39 = 0
0 + 5x2 = 51 + 39
5x2 = 51 + 39

Combine like terms: 51 + 39 = 90
5x2 = 90

Divide each side by '5'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}