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}

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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