(w+1)(w-3)=0

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Solution for (w+1)(w-3)=0 equation:


Simplifying
(w + 1)(w + -3) = 0

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

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

Multiply (1 + w) * (-3 + w)
(1(-3 + w) + w(-3 + w)) = 0
((-3 * 1 + w * 1) + w(-3 + w)) = 0
((-3 + 1w) + w(-3 + w)) = 0
(-3 + 1w + (-3 * w + w * w)) = 0
(-3 + 1w + (-3w + w2)) = 0

Combine like terms: 1w + -3w = -2w
(-3 + -2w + w2) = 0

Solving
-3 + -2w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1

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

Subproblem 2

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

Solution

w = {-1, 3}

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