168=(5+2w)w

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Solution for 168=(5+2w)w equation:


Simplifying
168 = (5 + 2w) * w

Reorder the terms for easier multiplication:
168 = w(5 + 2w)
168 = (5 * w + 2w * w)
168 = (5w + 2w2)

Solving
168 = 5w + 2w2

Solving for variable 'w'.

Reorder the terms:
168 + -5w + -2w2 = 5w + -5w + 2w2 + -2w2

Combine like terms: 5w + -5w = 0
168 + -5w + -2w2 = 0 + 2w2 + -2w2
168 + -5w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
168 + -5w + -2w2 = 0

Factor a trinomial.
(8 + -1w)(21 + 2w) = 0

Subproblem 1

Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 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 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8

Subproblem 2

Set the factor '(21 + 2w)' equal to zero and attempt to solve: Simplifying 21 + 2w = 0 Solving 21 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2w = 0 + -21 2w = 0 + -21 Combine like terms: 0 + -21 = -21 2w = -21 Divide each side by '2'. w = -10.5 Simplifying w = -10.5

Solution

w = {8, -10.5}

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