3w^2+0w-75=0

Solution for 3w^2+0w-75=0 equation:

Simplifying
3w2 + 0w + -75 = 0

Anything times zero is zero.
3w2 + 0w + -75 = 0

Reorder the terms:
0 + -75 + 3w2 = 0

Combine like terms: 0 + -75 = -75
-75 + 3w2 = 0

Solving
-75 + 3w2 = 0

Solving for variable 'w'.

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

Add '75' to each side of the equation.
-75 + 75 + 3w2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 3w2 = 0 + 75
3w2 = 0 + 75

Combine like terms: 0 + 75 = 75
3w2 = 75

Divide each side by '3'.
w2 = 25

Simplifying
w2 = 25

Take the square root of each side:
w = {-5, 5}