(w-4)(w+3)=0

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Solution for (w-4)(w+3)=0 equation:


Simplifying
(w + -4)(w + 3) = 0

Reorder the terms:
(-4 + w)(w + 3) = 0

Reorder the terms:
(-4 + w)(3 + w) = 0

Multiply (-4 + w) * (3 + w)
(-4(3 + w) + w(3 + w)) = 0
((3 * -4 + w * -4) + w(3 + w)) = 0
((-12 + -4w) + w(3 + w)) = 0
(-12 + -4w + (3 * w + w * w)) = 0
(-12 + -4w + (3w + w2)) = 0

Combine like terms: -4w + 3w = -1w
(-12 + -1w + w2) = 0

Solving
-12 + -1w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -1w)(4 + -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 '(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 = {-3, 4}

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