(w+7)(w-5)=

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Solution for (w+7)(w-5)= equation:


Simplifying
(w + 7)(w + -5) = 0

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

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

Multiply (7 + w) * (-5 + w)
(7(-5 + w) + w(-5 + w)) = 0
((-5 * 7 + w * 7) + w(-5 + w)) = 0
((-35 + 7w) + w(-5 + w)) = 0
(-35 + 7w + (-5 * w + w * w)) = 0
(-35 + 7w + (-5w + w2)) = 0

Combine like terms: 7w + -5w = 2w
(-35 + 2w + w2) = 0

Solving
-35 + 2w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -1w)(5 + -1w) = 0

Subproblem 1

Set the factor '(-7 + -1w)' equal to zero and attempt to solve: Simplifying -7 + -1w = 0 Solving -7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 0 + 7 -1w = 0 + 7 Combine like terms: 0 + 7 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7

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 = {-7, 5}

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