48w^2+32w-3=

Solution for 48w^2+32w-3= equation:

Simplifying
48w2 + 32w + -3 = 0

Reorder the terms:
-3 + 32w + 48w2 = 0

Solving
-3 + 32w + 48w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -4w)(1 + -12w) = 0

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

Simplifying
-3 + -4w = 0

Solving
-3 + -4w = 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 + -4w = 0 + 3

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

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

Divide each side by '-4'.
w = -0.75

Simplifying
w = -0.75
Subproblem 2
Set the factor '(1 + -12w)' equal to zero and attempt to solve:

Simplifying
1 + -12w = 0

Solving
1 + -12w = 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 + -12w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -12w = 0 + -1
-12w = 0 + -1

Combine like terms: 0 + -1 = -1
-12w = -1

Divide each side by '-12'.
w = 0.08333333333

Simplifying
w = 0.08333333333
Solution
w = {-0.75, 0.08333333333}