(5w+9)(8+w)=0

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Solution for (5w+9)(8+w)=0 equation:


Simplifying
(5w + 9)(8 + w) = 0

Reorder the terms:
(9 + 5w)(8 + w) = 0

Multiply (9 + 5w) * (8 + w)
(9(8 + w) + 5w * (8 + w)) = 0
((8 * 9 + w * 9) + 5w * (8 + w)) = 0
((72 + 9w) + 5w * (8 + w)) = 0
(72 + 9w + (8 * 5w + w * 5w)) = 0
(72 + 9w + (40w + 5w2)) = 0

Combine like terms: 9w + 40w = 49w
(72 + 49w + 5w2) = 0

Solving
72 + 49w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(9 + 5w) = 0

Subproblem 1

Set the factor '(8 + w)' equal to zero and attempt to solve: Simplifying 8 + w = 0 Solving 8 + w = 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 + w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + w = 0 + -8 w = 0 + -8 Combine like terms: 0 + -8 = -8 w = -8 Simplifying w = -8

Subproblem 2

Set the factor '(9 + 5w)' equal to zero and attempt to solve: Simplifying 9 + 5w = 0 Solving 9 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = 0 + -9 5w = 0 + -9 Combine like terms: 0 + -9 = -9 5w = -9 Divide each side by '5'. w = -1.8 Simplifying w = -1.8

Solution

w = {-8, -1.8}

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