-5w^2+51-6=0

Solution for -5w^2+51-6=0 equation:

Simplifying
-5w2 + 51 + -6 = 0

Reorder the terms:
51 + -6 + -5w2 = 0

Combine like terms: 51 + -6 = 45
45 + -5w2 = 0

Solving
45 + -5w2 = 0

Solving for variable 'w'.

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

Add '-45' to each side of the equation.
45 + -45 + -5w2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -5w2 = 0 + -45
-5w2 = 0 + -45

Combine like terms: 0 + -45 = -45
-5w2 = -45

Divide each side by '-5'.
w2 = 9

Simplifying
w2 = 9

Take the square root of each side:
w = {-3, 3}