5x^2+2=37

Solution for 5x^2+2=37 equation:

Simplifying
5x2 + 2 = 37

Reorder the terms:
2 + 5x2 = 37

Solving
2 + 5x2 = 37

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 5x2 = 37 + -2

Combine like terms: 2 + -2 = 0
0 + 5x2 = 37 + -2
5x2 = 37 + -2

Combine like terms: 37 + -2 = 35
5x2 = 35

Divide each side by '5'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}