2x^2+5=105

Solution for 2x^2+5=105 equation:

Simplifying
2x2 + 5 = 105

Reorder the terms:
5 + 2x2 = 105

Solving
5 + 2x2 = 105

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 = 105 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = 105 + -5
2x2 = 105 + -5

Combine like terms: 105 + -5 = 100
2x2 = 100

Divide each side by '2'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}