(4w+3)(8-w)=0

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Solution for (4w+3)(8-w)=0 equation: 


Simplifying
(4w + 3)(8 + -1w) = 0

Reorder the terms:
(3 + 4w)(8 + -1w) = 0

Multiply (3 + 4w) * (8 + -1w)
(3(8 + -1w) + 4w * (8 + -1w)) = 0
((8 * 3 + -1w * 3) + 4w * (8 + -1w)) = 0
((24 + -3w) + 4w * (8 + -1w)) = 0
(24 + -3w + (8 * 4w + -1w * 4w)) = 0
(24 + -3w + (32w + -4w2)) = 0

Combine like terms: -3w + 32w = 29w
(24 + 29w + -4w2) = 0

Solving
24 + 29w + -4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(3 + 4w) = 0


Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 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 + -1w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 0 + -8
-1w = 0 + -8

Combine like terms: 0 + -8 = -8
-1w = -8

Divide each side by '-1'.
w = 8

Simplifying
w = 8

Subproblem 2
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
Solution
w = {8, -0.75}

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