5x^2-3=37

Solution for 5x^2-3=37 equation:

Simplifying
5x2 + -3 = 37

Reorder the terms:
-3 + 5x2 = 37

Solving
-3 + 5x2 = 37

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 = 37 + 3

Combine like terms: -3 + 3 = 0
0 + 5x2 = 37 + 3
5x2 = 37 + 3

Combine like terms: 37 + 3 = 40
5x2 = 40

Divide each side by '5'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}