2x*x+10=82

Solution for 2x*x+10=82 equation:

Simplifying
2x * x + 10 = 82

Multiply x * x
2x2 + 10 = 82

Reorder the terms:
10 + 2x2 = 82

Solving
10 + 2x2 = 82

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2x2 = 82 + -10

Combine like terms: 10 + -10 = 0
0 + 2x2 = 82 + -10
2x2 = 82 + -10

Combine like terms: 82 + -10 = 72
2x2 = 72

Divide each side by '2'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}