(w-8)(3w+7)=0

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Solution for (w-8)(3w+7)=0 equation: 


Simplifying
(w + -8)(3w + 7) = 0

Reorder the terms:
(-8 + w)(3w + 7) = 0

Reorder the terms:
(-8 + w)(7 + 3w) = 0

Multiply (-8 + w) * (7 + 3w)
(-8(7 + 3w) + w(7 + 3w)) = 0
((7 * -8 + 3w * -8) + w(7 + 3w)) = 0
((-56 + -24w) + w(7 + 3w)) = 0
(-56 + -24w + (7 * w + 3w * w)) = 0
(-56 + -24w + (7w + 3w2)) = 0

Combine like terms: -24w + 7w = -17w
(-56 + -17w + 3w2) = 0

Solving
-56 + -17w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -3w)(8 + -1w) = 0


Subproblem 1
Set the factor '(-7 + -3w)' equal to zero and attempt to solve:

Simplifying
-7 + -3w = 0

Solving
-7 + -3w = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3w = 0 + 7
-3w = 0 + 7

Combine like terms: 0 + 7 = 7
-3w = 7

Divide each side by '-3'.
w = -2.333333333

Simplifying
w = -2.333333333

Subproblem 2
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
Solution
w = {-2.333333333, 8}

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