-12w^2+20w-3=0

Solution for -12w^2+20w-3=0 equation:

Simplifying
-12w2 + 20w + -3 = 0

Reorder the terms:
-3 + 20w + -12w2 = 0

Solving
-3 + 20w + -12w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + 2w)(1 + -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 '(1 + -6w)' equal to zero and attempt to solve:

Simplifying
1 + -6w = 0

Solving
1 + -6w = 0

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

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

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

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

Divide each side by '-6'.
w = 0.1666666667

Simplifying
w = 0.1666666667
Solution
w = {1.5, 0.1666666667}