3w^2-8w=-4

Solution for 3w^2-8w=-4 equation:

Simplifying
3w2 + -8w = -4

Reorder the terms:
-8w + 3w2 = -4

Solving
-8w + 3w2 = -4

Solving for variable 'w'.

Reorder the terms:
4 + -8w + 3w2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -8w + 3w2 = 0

Factor a trinomial.
(2 + -3w)(2 + -1w) = 0

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

Simplifying
2 + -3w = 0

Solving
2 + -3w = 0

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

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

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

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

Divide each side by '-3'.
w = 0.6666666667

Simplifying
w = 0.6666666667
Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Solution
w = {0.6666666667, 2}