What is the answer to 2/x-(3x)/2 =7 ?

The answer to 2/x-(3x)/2 =7 is x=-(7+sqrt(61))/3 ,x=(sqrt(61)-7)/3

Solve for x: 2/x-(3x)/2 =7

The solution is x=-(7+sqrt(61))/3 ,x=(sqrt(61)-7)/3

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\frac{2}{x} - \frac{3 x}{2} = 7

x = - \frac{7 + 61}{3}, x = \frac{61 - 7}{3}

Decimal

x = - 4.93674 \dots, x = 0.27008 \dots

Solution steps

\frac{2}{x} - \frac{3 x}{2} = 7

Multiply by LCM

4 - 3 x^{2} = 14 x

Solve

4 - 3 x^{2} = 14 x : x = - \frac{7 + 61}{3}, x = \frac{61 - 7}{3}

x = - \frac{7 + 61}{3}, x = \frac{61 - 7}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{7 + 61}{3}, x = \frac{61 - 7}{3}

x - \frac{2 x}{x + 1} = \frac{2}{x + 1}

2 x - \frac{32}{x} = 0

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

1 + \frac{2}{x - 4} = \frac{7}{x ^{2} - 16}

\frac{10}{y + 11} = \frac{25}{- 3 y}

What is the answer to 2/x-(3x)/2 =7 ?
The answer to 2/x-(3x)/2 =7 is x=-(7+sqrt(61))/3 ,x=(sqrt(61)-7)/3
Solve for x: 2/x-(3x)/2 =7
The solution is x=-(7+sqrt(61))/3 ,x=(sqrt(61)-7)/3