(w^2+25)-75=0

Solution for (w^2+25)-75=0 equation:

Simplifying
(w2 + 25) + -75 = 0

Reorder the terms:
(25 + w2) + -75 = 0

Remove parenthesis around (25 + w2)
25 + w2 + -75 = 0

Reorder the terms:
25 + -75 + w2 = 0

Combine like terms: 25 + -75 = -50
-50 + w2 = 0

Solving
-50 + w2 = 0

Solving for variable 'w'.

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

Add '50' to each side of the equation.
-50 + 50 + w2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + w2 = 0 + 50
w2 = 0 + 50

Combine like terms: 0 + 50 = 50
w2 = 50

Simplifying
w2 = 50

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