5x^2+3=10

Solution for 5x^2+3=10 equation:

Simplifying
5x2 + 3 = 10

Reorder the terms:
3 + 5x2 = 10

Solving
3 + 5x2 = 10

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 = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 5x2 = 10 + -3
5x2 = 10 + -3

Combine like terms: 10 + -3 = 7
5x2 = 7

Divide each side by '5'.
x2 = 1.4

Simplifying
x2 = 1.4

Take the square root of each side:
x = {-1.183215957, 1.183215957}