5x^2-52=-2

Solution for 5x^2-52=-2 equation:

Simplifying
5x2 + -52 = -2

Reorder the terms:
-52 + 5x2 = -2

Solving
-52 + 5x2 = -2

Solving for variable 'x'.

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

Add '52' to each side of the equation.
-52 + 52 + 5x2 = -2 + 52

Combine like terms: -52 + 52 = 0
0 + 5x2 = -2 + 52
5x2 = -2 + 52

Combine like terms: -2 + 52 = 50
5x2 = 50

Divide each side by '5'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}