2x^2+5=42

Solution for 2x^2+5=42 equation:

Simplifying
2x2 + 5 = 42

Reorder the terms:
5 + 2x2 = 42

Solving
5 + 2x2 = 42

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x2 = 42 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = 42 + -5
2x2 = 42 + -5

Combine like terms: 42 + -5 = 37
2x2 = 37

Divide each side by '2'.
x2 = 18.5

Simplifying
x2 = 18.5

Take the square root of each side:
x = {-4.301162634, 4.301162634}