(w-36)(w+81)=0

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Solution for (w-36)(w+81)=0 equation:


Simplifying
(w + -36)(w + 81) = 0

Reorder the terms:
(-36 + w)(w + 81) = 0

Reorder the terms:
(-36 + w)(81 + w) = 0

Multiply (-36 + w) * (81 + w)
(-36(81 + w) + w(81 + w)) = 0
((81 * -36 + w * -36) + w(81 + w)) = 0
((-2916 + -36w) + w(81 + w)) = 0
(-2916 + -36w + (81 * w + w * w)) = 0
(-2916 + -36w + (81w + w2)) = 0

Combine like terms: -36w + 81w = 45w
(-2916 + 45w + w2) = 0

Solving
-2916 + 45w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-81 + -1w)(36 + -1w) = 0

Subproblem 1

Set the factor '(-81 + -1w)' equal to zero and attempt to solve: Simplifying -81 + -1w = 0 Solving -81 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -1w = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -1w = 0 + 81 -1w = 0 + 81 Combine like terms: 0 + 81 = 81 -1w = 81 Divide each side by '-1'. w = -81 Simplifying w = -81

Subproblem 2

Set the factor '(36 + -1w)' equal to zero and attempt to solve: Simplifying 36 + -1w = 0 Solving 36 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1w = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1w = 0 + -36 -1w = 0 + -36 Combine like terms: 0 + -36 = -36 -1w = -36 Divide each side by '-1'. w = 36 Simplifying w = 36

Solution

w = {-81, 36}

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