(w+3)(w-5)=

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Solution for (w+3)(w-5)= equation:


Simplifying
(w + 3)(w + -5) = 0

Reorder the terms:
(3 + w)(w + -5) = 0

Reorder the terms:
(3 + w)(-5 + w) = 0

Multiply (3 + w) * (-5 + w)
(3(-5 + w) + w(-5 + w)) = 0
((-5 * 3 + w * 3) + w(-5 + w)) = 0
((-15 + 3w) + w(-5 + w)) = 0
(-15 + 3w + (-5 * w + w * w)) = 0
(-15 + 3w + (-5w + w2)) = 0

Combine like terms: 3w + -5w = -2w
(-15 + -2w + w2) = 0

Solving
-15 + -2w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -1w)(5 + -1w) = 0

Subproblem 1

Set the factor '(-3 + -1w)' equal to zero and attempt to solve: Simplifying -3 + -1w = 0 Solving -3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 0 + 3 -1w = 0 + 3 Combine like terms: 0 + 3 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3

Subproblem 2

Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5

Solution

w = {-3, 5}

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