$\frac{x + 10}{2} - \frac{13}{x + 1} = \frac{11}{3}$

Answer

$x_{1} = - 7 x_{2} = \frac{10}{3}$

Explanation

\frac{x + 10}{2} - \frac{13}{x + 1} 2 (x + 1) \cdot 3 \cdot \frac{x + 10}{2} - 2 (x + 1) \cdot 3 \cdot \frac{13}{x + 1} 3 x^{2} + 33 x + 30 - 78 3 x^{2} + 33 x - 48 3 x^{2} + 33 x - 48 - 22 x - 22 3 x^{2} + 11 x - 70 = \frac{11}{3} = 2 (x + 1) \cdot 3 \cdot \frac{11}{3} = 22 x + 22 = 22 x + 22 = 0 = 0 multiply ALL terms by 2 (x + 1) \cdot 3 . cancel out the denominators simplify left side move all terms to the left hand side simplify left side

$3 x^{2} + 11 x - 70 = 0$ is a quadratic equation.

You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.

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2x+10​−x+113​=311​

x1​=−7​x2​=310​​

$\frac{x + 10}{2} - \frac{13}{x + 1} = \frac{11}{3}$

$x_{1} = - 7 x_{2} = \frac{10}{3}$