(w-1)(3w+2)=4w

Solution for (w-1)(3w+2)=4w equation:

Simplifying
(w + -1)(3w + 2) = 4w

Reorder the terms:
(-1 + w)(3w + 2) = 4w

Reorder the terms:
(-1 + w)(2 + 3w) = 4w

Multiply (-1 + w) * (2 + 3w)
(-1(2 + 3w) + w(2 + 3w)) = 4w
((2 * -1 + 3w * -1) + w(2 + 3w)) = 4w
((-2 + -3w) + w(2 + 3w)) = 4w
(-2 + -3w + (2 * w + 3w * w)) = 4w
(-2 + -3w + (2w + 3w2)) = 4w

Combine like terms: -3w + 2w = -1w
(-2 + -1w + 3w2) = 4w

Solving
-2 + -1w + 3w2 = 4w

Solving for variable 'w'.

Reorder the terms:
-2 + -1w + -4w + 3w2 = 4w + -4w

Combine like terms: -1w + -4w = -5w
-2 + -5w + 3w2 = 4w + -4w

Combine like terms: 4w + -4w = 0
-2 + -5w + 3w2 = 0

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

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

Simplifying
-1 + -3w = 0

Solving
-1 + -3w = 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 + -3w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3w = 0 + 1
-3w = 0 + 1

Combine like terms: 0 + 1 = 1
-3w = 1

Divide each side by '-3'.
w = -0.3333333333

Simplifying
w = -0.3333333333
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 = {-0.3333333333, 2}