(3w-8)(2w+1)=

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Solution for (3w-8)(2w+1)= equation: 


Simplifying
(3w + -8)(2w + 1) = 0

Reorder the terms:
(-8 + 3w)(2w + 1) = 0

Reorder the terms:
(-8 + 3w)(1 + 2w) = 0

Multiply (-8 + 3w) * (1 + 2w)
(-8(1 + 2w) + 3w * (1 + 2w)) = 0
((1 * -8 + 2w * -8) + 3w * (1 + 2w)) = 0
((-8 + -16w) + 3w * (1 + 2w)) = 0
(-8 + -16w + (1 * 3w + 2w * 3w)) = 0
(-8 + -16w + (3w + 6w2)) = 0

Combine like terms: -16w + 3w = -13w
(-8 + -13w + 6w2) = 0

Solving
-8 + -13w + 6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-1 + -2w)(8 + -3w) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -3w)' equal to zero and attempt to solve:

Simplifying
8 + -3w = 0

Solving
8 + -3w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3w = 0 + -8

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

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

Divide each side by '-3'.
w = 2.666666667

Simplifying
w = 2.666666667
Solution
w = {-0.5, 2.666666667}

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