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I need help solving this,please

5 {x}^(2) - 13x - 3 = 3


User VlatkoB
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1 Answer

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5{x}^(2) - 13x - 3 = 3 \\ \Leftrightarrow 5 {x}^(2) - 13x - 6 = 0 \\ \Leftrightarrow 5 {x}^(2) - 15x + 2x - 6 = 0 \\ \Leftrightarrow 5x(x - 3) + 2(x - 3) = 0 \\ \Leftrightarrow (5x + 2)(x - 3) = 0 \\ \Leftrightarrow 5x + 2 = 0 \: \vee \: x - 3 = 0 \\ \Leftrightarrow x = - (2)/(5) \: \vee \: x = 3