(9+w)(4w+5)=0

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Solution for (9+w)(4w+5)=0 equation:


Simplifying
(9 + w)(4w + 5) = 0

Reorder the terms:
(9 + w)(5 + 4w) = 0

Multiply (9 + w) * (5 + 4w)
(9(5 + 4w) + w(5 + 4w)) = 0
((5 * 9 + 4w * 9) + w(5 + 4w)) = 0
((45 + 36w) + w(5 + 4w)) = 0
(45 + 36w + (5 * w + 4w * w)) = 0
(45 + 36w + (5w + 4w2)) = 0

Combine like terms: 36w + 5w = 41w
(45 + 41w + 4w2) = 0

Solving
45 + 41w + 4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(9 + w)(5 + 4w) = 0

Subproblem 1

Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 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 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9

Subproblem 2

Set the factor '(5 + 4w)' equal to zero and attempt to solve: Simplifying 5 + 4w = 0 Solving 5 + 4w = 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 + 4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4w = 0 + -5 4w = 0 + -5 Combine like terms: 0 + -5 = -5 4w = -5 Divide each side by '4'. w = -1.25 Simplifying w = -1.25

Solution

w = {-9, -1.25}

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