(w+6)w=160

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Solution for (w+6)w=160 equation:


Simplifying
(w + 6) * w = 160

Reorder the terms:
(6 + w) * w = 160

Reorder the terms for easier multiplication:
w(6 + w) = 160
(6 * w + w * w) = 160
(6w + w2) = 160

Solving
6w + w2 = 160

Solving for variable 'w'.

Reorder the terms:
-160 + 6w + w2 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + 6w + w2 = 0

Factor a trinomial.
(-16 + -1w)(10 + -1w) = 0

Subproblem 1

Set the factor '(-16 + -1w)' equal to zero and attempt to solve: Simplifying -16 + -1w = 0 Solving -16 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1w = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1w = 0 + 16 -1w = 0 + 16 Combine like terms: 0 + 16 = 16 -1w = 16 Divide each side by '-1'. w = -16 Simplifying w = -16

Subproblem 2

Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10

Solution

w = {-16, 10}

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