4x  17 = 15/x 4x²  17x = 15 {multiplied entire equation by x, to clear fraction}
4x²  17x  15 = 0 {subtracted 15 from both sides} (4x + 3)(x  5) = 0 {factored into two binomials} 4x + 3 = 0 or x  5 = 0 {set each factor equal to 0} 4x = 3 or x = 5 {subtracted 3 and added 5, respectively} x =  3/4 or x = 5 {divided both sides by 4 in left equation} © Algebra House
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