(w-4)(w+7)=

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Solution for (w-4)(w+7)= equation:


Simplifying
(w + -4)(w + 7) = 0

Reorder the terms:
(-4 + w)(w + 7) = 0

Reorder the terms:
(-4 + w)(7 + w) = 0

Multiply (-4 + w) * (7 + w)
(-4(7 + w) + w(7 + w)) = 0
((7 * -4 + w * -4) + w(7 + w)) = 0
((-28 + -4w) + w(7 + w)) = 0
(-28 + -4w + (7 * w + w * w)) = 0
(-28 + -4w + (7w + w2)) = 0

Combine like terms: -4w + 7w = 3w
(-28 + 3w + w2) = 0

Solving
-28 + 3w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -1w)(4 + -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 '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4

Solution

w = {-7, 4}

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