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Alg 1

Factoring to solve quadratic equations: Use the Zero-Product Property to solve each equation. Write your solution in roster form:

The volume of a storage tub shaped like a rectangular prism is 24 ft^3. The height of the tub is 3 feet. The width is w feet and the length is w+2ft. Use the formula V +lwh to find the value of w.

Please solve and explain. Thanks.

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  1. V = lwh

    24 = 3w(w+2)

    Multiply.

    24 = 3w^2 + 6w

    Put all terms on one side of the equation.

    3w^2 + 6w -24 = 0

    Factor.

    (3w-12)(w+6) = 0

    Solve for w and w+2.

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  2. 4, -2

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