Answer: x = 20 or x = - 5. Find two integers: beginequationbegincases- 20 + 5 = - 15- 20 * 5 = - 100endcasesendequationRewrite

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Answer: x = 20 or x = - 5. Find two integers: beginequationbegincases- 20 + 5 = - 15- 20 * 5 = - 100endcasesendequationRewrite
Find 2 integers: eginequationegincases- 20 + 5 = - 15\- 20 imes 5 = - 100endcasesendequationRewrite the middle term: x^2 - 20 x + 5 x - 100 = 0Factor the first two terms and the last two terms respectively: x (x - 20) + 5 (x - 20) = 0Extract the common factor: (x - 20) (x + 5) = 0Apply zero product residential property that at least one variable is zero: x - 20 = 0 or x + 5 = 0Rearrange unknown state to the left next of the equation: x = 20Rearrange unknown terms to the left next of the equation: x = - 5Find the union the the solutions: x = 20 or x = - 5Answer: x = 20 or x = - 5
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