2x^2-10=42

Solution for 2x^2-10=42 equation:

Simplifying
2x2 + -10 = 42

Reorder the terms:
-10 + 2x2 = 42

Solving
-10 + 2x2 = 42

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 = 42 + 10

Combine like terms: -10 + 10 = 0
0 + 2x2 = 42 + 10
2x2 = 42 + 10

Combine like terms: 42 + 10 = 52
2x2 = 52

Divide each side by '2'.
x2 = 26

Simplifying
x2 = 26

Take the square root of each side:
x = {-5.099019514, 5.099019514}