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

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

Simplifying
(3w + 4)(2w + -1) = 0

Reorder the terms:
(4 + 3w)(2w + -1) = 0

Reorder the terms:
(4 + 3w)(-1 + 2w) = 0

Multiply (4 + 3w) * (-1 + 2w)
(4(-1 + 2w) + 3w * (-1 + 2w)) = 0
((-1 * 4 + 2w * 4) + 3w * (-1 + 2w)) = 0
((-4 + 8w) + 3w * (-1 + 2w)) = 0
(-4 + 8w + (-1 * 3w + 2w * 3w)) = 0
(-4 + 8w + (-3w + 6w2)) = 0

Combine like terms: 8w + -3w = 5w
(-4 + 5w + 6w2) = 0

Solving
-4 + 5w + 6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4 + -3w)(1 + -2w) = 0

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

Simplifying
-4 + -3w = 0

Solving
-4 + -3w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3w = 0 + 4

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

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

Divide each side by '-3'.
w = -1.333333333

Simplifying
w = -1.333333333
Subproblem 2
Set the factor '(1 + -2w)' equal to zero and attempt to solve:

Simplifying
1 + -2w = 0

Solving
1 + -2w = 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 + -2w = 0 + -1

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

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

Divide each side by '-2'.
w = 0.5

Simplifying
w = 0.5
Solution
w = {-1.333333333, 0.5}