5x^2+2=10

Solution for 5x^2+2=10 equation:

Simplifying
5x2 + 2 = 10

Reorder the terms:
2 + 5x2 = 10

Solving
2 + 5x2 = 10

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 = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 5x2 = 10 + -2
5x2 = 10 + -2

Combine like terms: 10 + -2 = 8
5x2 = 8

Divide each side by '5'.
x2 = 1.6

Simplifying
x2 = 1.6

Take the square root of each side:
x = {-1.264911064, 1.264911064}