w(w+8)=825

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Solution for w(w+8)=825 equation:


Simplifying
w(w + 8) = 825

Reorder the terms:
w(8 + w) = 825
(8 * w + w * w) = 825
(8w + w2) = 825

Solving
8w + w2 = 825

Solving for variable 'w'.

Reorder the terms:
-825 + 8w + w2 = 825 + -825

Combine like terms: 825 + -825 = 0
-825 + 8w + w2 = 0

Factor a trinomial.
(-33 + -1w)(25 + -1w) = 0

Subproblem 1

Set the factor '(-33 + -1w)' equal to zero and attempt to solve: Simplifying -33 + -1w = 0 Solving -33 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -1w = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -1w = 0 + 33 -1w = 0 + 33 Combine like terms: 0 + 33 = 33 -1w = 33 Divide each side by '-1'. w = -33 Simplifying w = -33

Subproblem 2

Set the factor '(25 + -1w)' equal to zero and attempt to solve: Simplifying 25 + -1w = 0 Solving 25 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1w = 0 + -25 -1w = 0 + -25 Combine like terms: 0 + -25 = -25 -1w = -25 Divide each side by '-1'. w = 25 Simplifying w = 25

Solution

w = {-33, 25}

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