7w^2+49=105

Solution for 7w^2+49=105 equation:

Simplifying
7w2 + 49 = 105

Reorder the terms:
49 + 7w2 = 105

Solving
49 + 7w2 = 105

Solving for variable 'w'.

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

Add '-49' to each side of the equation.
49 + -49 + 7w2 = 105 + -49

Combine like terms: 49 + -49 = 0
0 + 7w2 = 105 + -49
7w2 = 105 + -49

Combine like terms: 105 + -49 = 56
7w2 = 56

Divide each side by '7'.
w2 = 8

Simplifying
w2 = 8

Take the square root of each side:
w = {-2.828427125, 2.828427125}