\"\"

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The given function is \"\".

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\"\"                    (Substitute f(x) = 0)

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Apply multiplication property of addition: If a = b then \"\".

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And multiply each side by \"\".

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\"\"

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\"\" \"\"

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Apply zero product property: \"\".

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\"\"

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The factors of \"\"30\"\"10, 3 (or) 3, \"\"10 (or) \"\"6, 5 (or) 5, \"\"6 (or) \"\"15, 2 (or) \"\"2, 15.

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The correct factors are \"\"6, 5 and \"\"30, So m = \"\"6, n = 5.

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Then write the factors form \"\".\"\"

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\"\"

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\"\"   (Group terms with common factors)

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\"\"       (Factors the grouping terms)

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\"\"                (Take out common term \"\")

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Apply zero product property: If \"\" then a = 0 (or) b = 0.

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\"\" \"\"

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Solve for first factor \"\".

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Apply subtraction property of equality: If a = b then \"\".

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\"\"                    (Subtract 5 from each side)

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\"\"

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Solve for second factor \"\".

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Apply subtraction property of equality: If a = b then \"\".

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\"\"                   (Add 6 to each side)

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\"\"

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\"\"

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The roots are  \"\"5, and 6.