78=3w^2+6

Solution for 78=3w^2+6 equation:

Simplifying
78 = 3w2 + 6

Reorder the terms:
78 = 6 + 3w2

Solving
78 = 6 + 3w2

Solving for variable 'w'.

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

Add '-3w2' to each side of the equation.
78 + -3w2 = 6 + 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
78 + -3w2 = 6 + 0
78 + -3w2 = 6

Add '-78' to each side of the equation.
78 + -78 + -3w2 = 6 + -78

Combine like terms: 78 + -78 = 0
0 + -3w2 = 6 + -78
-3w2 = 6 + -78

Combine like terms: 6 + -78 = -72
-3w2 = -72

Divide each side by '-3'.
w2 = 24

Simplifying
w2 = 24

Take the square root of each side:
w = {-4.898979486, 4.898979486}