(w+2)(w-8)=

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Solution for (w+2)(w-8)= equation:


Simplifying
(w + 2)(w + -8) = 0

Reorder the terms:
(2 + w)(w + -8) = 0

Reorder the terms:
(2 + w)(-8 + w) = 0

Multiply (2 + w) * (-8 + w)
(2(-8 + w) + w(-8 + w)) = 0
((-8 * 2 + w * 2) + w(-8 + w)) = 0
((-16 + 2w) + w(-8 + w)) = 0
(-16 + 2w + (-8 * w + w * w)) = 0
(-16 + 2w + (-8w + w2)) = 0

Combine like terms: 2w + -8w = -6w
(-16 + -6w + w2) = 0

Solving
-16 + -6w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(-2 + -1w)' equal to zero and attempt to solve: Simplifying -2 + -1w = 0 Solving -2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 0 + 2 -1w = 0 + 2 Combine like terms: 0 + 2 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2

Subproblem 2

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

Solution

w = {-2, 8}

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