(8+w)(3w+5)=0

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Solution for (8+w)(3w+5)=0 equation:


Simplifying
(8 + w)(3w + 5) = 0

Reorder the terms:
(8 + w)(5 + 3w) = 0

Multiply (8 + w) * (5 + 3w)
(8(5 + 3w) + w(5 + 3w)) = 0
((5 * 8 + 3w * 8) + w(5 + 3w)) = 0
((40 + 24w) + w(5 + 3w)) = 0
(40 + 24w + (5 * w + 3w * w)) = 0
(40 + 24w + (5w + 3w2)) = 0

Combine like terms: 24w + 5w = 29w
(40 + 29w + 3w2) = 0

Solving
40 + 29w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(5 + 3w) = 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 '(5 + 3w)' equal to zero and attempt to solve: Simplifying 5 + 3w = 0 Solving 5 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667

Solution

w = {-8, -1.666666667}

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