(4w+9)(w+8)=

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Solution for (4w+9)(w+8)= equation:


Simplifying
(4w + 9)(w + 8) = 0

Reorder the terms:
(9 + 4w)(w + 8) = 0

Reorder the terms:
(9 + 4w)(8 + w) = 0

Multiply (9 + 4w) * (8 + w)
(9(8 + w) + 4w * (8 + w)) = 0
((8 * 9 + w * 9) + 4w * (8 + w)) = 0
((72 + 9w) + 4w * (8 + w)) = 0
(72 + 9w + (8 * 4w + w * 4w)) = 0
(72 + 9w + (32w + 4w2)) = 0

Combine like terms: 9w + 32w = 41w
(72 + 41w + 4w2) = 0

Solving
72 + 41w + 4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(9 + 4w) = 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 + 4w)' equal to zero and attempt to solve: Simplifying 9 + 4w = 0 Solving 9 + 4w = 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 + 4w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4w = 0 + -9 4w = 0 + -9 Combine like terms: 0 + -9 = -9 4w = -9 Divide each side by '4'. w = -2.25 Simplifying w = -2.25

Solution

w = {-8, -2.25}

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