7w^2+35=91

Solution for 7w^2+35=91 equation:

Simplifying
7w2 + 35 = 91

Reorder the terms:
35 + 7w2 = 91

Solving
35 + 7w2 = 91

Solving for variable 'w'.

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

Add '-35' to each side of the equation.
35 + -35 + 7w2 = 91 + -35

Combine like terms: 35 + -35 = 0
0 + 7w2 = 91 + -35
7w2 = 91 + -35

Combine like terms: 91 + -35 = 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}