(w-6)(w-4)=0

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Solution for (w-6)(w-4)=0 equation:


Simplifying
(w + -6)(w + -4) = 0

Reorder the terms:
(-6 + w)(w + -4) = 0

Reorder the terms:
(-6 + w)(-4 + w) = 0

Multiply (-6 + w) * (-4 + w)
(-6(-4 + w) + w(-4 + w)) = 0
((-4 * -6 + w * -6) + w(-4 + w)) = 0
((24 + -6w) + w(-4 + w)) = 0
(24 + -6w + (-4 * w + w * w)) = 0
(24 + -6w + (-4w + w2)) = 0

Combine like terms: -6w + -4w = -10w
(24 + -10w + w2) = 0

Solving
24 + -10w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + -1w)(6 + -1w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6

Solution

w = {4, 6}

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