$\frac{5}{3} x + \frac{2}{3} = 5 + \frac{x}{2} x$

Answer

$x_{1} = \frac{5}{3} + \frac{53}{3} i x_{2} = \frac{5}{3} - \frac{53}{3} i$

Explanation

\frac{5}{3} x + \frac{2}{3} 6 \cdot \frac{5}{3} x + 6 \cdot \frac{2}{3} 10 x + 4 10 x + 4 10 x + 4 - 3 x^{2} - 30 - 3 x^{2} + 10 x - 26 = 5 + \frac{x}{2} x = 6 \cdot 5 + 6 \cdot \frac{x}{2} x = 30 + 3 x^{2} = 3 x^{2} + 30 = 0 = 0 multiply ALL terms by 6 . cancel out the denominators simplify right side move all terms to the left hand side simplify left side

$- 3 x^{2} + 10 x - 26 = 0$ 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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35​x+32​=5+2x​x

x1​=35​+353​​i​x2​=35​−353​​i​

$\frac{5}{3} x + \frac{2}{3} = 5 + \frac{x}{2} x$

$x_{1} = \frac{5}{3} + \frac{53}{3} i x_{2} = \frac{5}{3} - \frac{53}{3} i$