12w^2+8w-15=0

Solution for 12w^2+8w-15=0 equation:

Simplifying
12w2 + 8w + -15 = 0

Reorder the terms:
-15 + 8w + 12w2 = 0

Solving
-15 + 8w + 12w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -2w)(5 + -6w) = 0

Subproblem 1
Set the factor '(-3 + -2w)' equal to zero and attempt to solve:

Simplifying
-3 + -2w = 0

Solving
-3 + -2w = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2w = 0 + 3
-2w = 0 + 3

Combine like terms: 0 + 3 = 3
-2w = 3

Divide each side by '-2'.
w = -1.5

Simplifying
w = -1.5
Subproblem 2
Set the factor '(5 + -6w)' equal to zero and attempt to solve:

Simplifying
5 + -6w = 0

Solving
5 + -6w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6w = 0 + -5
-6w = 0 + -5

Combine like terms: 0 + -5 = -5
-6w = -5

Divide each side by '-6'.
w = 0.8333333333

Simplifying
w = 0.8333333333
Solution
w = {-1.5, 0.8333333333}