3w^2-14w-24=0

Solution for 3w^2-14w-24=0 equation:

Simplifying
3w2 + -14w + -24 = 0

Reorder the terms:
-24 + -14w + 3w2 = 0

Solving
-24 + -14w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4 + -3w)(6 + -1w) = 0

Subproblem 1
Set the factor '(-4 + -3w)' equal to zero and attempt to solve:

Simplifying
-4 + -3w = 0

Solving
-4 + -3w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3w = 0 + 4
-3w = 0 + 4

Combine like terms: 0 + 4 = 4
-3w = 4

Divide each side by '-3'.
w = -1.333333333

Simplifying
w = -1.333333333
Subproblem 2
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {-1.333333333, 6}