3w^2-24w^2+36=0

Solution for 3w^2-24w^2+36=0 equation:

Simplifying
3w2 + -24w2 + 36 = 0

Reorder the terms:
36 + 3w2 + -24w2 = 0

Combine like terms: 3w2 + -24w2 = -21w2
36 + -21w2 = 0

Solving
36 + -21w2 = 0

Solving for variable 'w'.

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

Add '-36' to each side of the equation.
36 + -36 + -21w2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -21w2 = 0 + -36
-21w2 = 0 + -36

Combine like terms: 0 + -36 = -36
-21w2 = -36

Divide each side by '-21'.
w2 = 1.714285714

Simplifying
w2 = 1.714285714

Take the square root of each side:
w = {-1.309307341, 1.309307341}