(5w+8)(7+w)=0

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Solution for (5w+8)(7+w)=0 equation: 


Simplifying
(5w + 8)(7 + w) = 0

Reorder the terms:
(8 + 5w)(7 + w) = 0

Multiply (8 + 5w) * (7 + w)
(8(7 + w) + 5w * (7 + w)) = 0
((7 * 8 + w * 8) + 5w * (7 + w)) = 0
((56 + 8w) + 5w * (7 + w)) = 0
(56 + 8w + (7 * 5w + w * 5w)) = 0
(56 + 8w + (35w + 5w2)) = 0

Combine like terms: 8w + 35w = 43w
(56 + 43w + 5w2) = 0

Solving
56 + 43w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + w)(8 + 5w) = 0


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

Simplifying
7 + w = 0

Solving
7 + w = 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 + w = 0 + -7

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

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

Simplifying
w = -7

Subproblem 2
Set the factor '(8 + 5w)' equal to zero and attempt to solve:

Simplifying
8 + 5w = 0

Solving
8 + 5w = 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 + 5w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5w = 0 + -8
5w = 0 + -8

Combine like terms: 0 + -8 = -8
5w = -8

Divide each side by '5'.
w = -1.6

Simplifying
w = -1.6
Solution
w = {-7, -1.6}

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