What is the answer to ((15)/x+3)7-9x=0 ?

The answer to ((15)/x+3)7-9x=0 is x=-(-7+sqrt(469))/6 ,x=(7+sqrt(469))/6

Solve for x: ((15)/x+3)7-9x=0

The solution is x=-(-7+sqrt(469))/6 ,x=(7+sqrt(469))/6

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(\frac{15}{x} + 3) 7 - 9 x = 0

x = - \frac{- 7 + 469}{6}, x = \frac{7 + 469}{6}

Solution steps

(\frac{15}{x} + 3) \cdot 7 - 9 x = 0

Simplify

(\frac{15}{x} + 3) \cdot 7 : 7 (\frac{15}{x} + 3)

7 (\frac{15}{x} + 3) - 9 x = 0

Expand

7 (\frac{15}{x} + 3) - 9 x : \frac{105}{x} + 21 - 9 x

\frac{105}{x} + 21 - 9 x = 0

Multiply both sides by

x

105 + 21 x - 9 x^{2} = 0

Solve

105 + 21 x - 9 x^{2} = 0 : x = - \frac{- 7 + 469}{6}, x = \frac{7 + 469}{6}

x = - \frac{- 7 + 469}{6}, x = \frac{7 + 469}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{- 7 + 469}{6}, x = \frac{7 + 469}{6}

\frac{2}{5 - x} + \frac{3}{x + 7} = 1

1 - \frac{4}{x} = - 3 x

x + \frac{15}{x} = 8

y, x = \frac{1}{y + 3}

\frac{4 r - 6}{r - 7} = \frac{1}{2}

What is the answer to ((15)/x+3)7-9x=0 ?
The answer to ((15)/x+3)7-9x=0 is x=-(-7+sqrt(469))/6 ,x=(7+sqrt(469))/6
Solve for x: ((15)/x+3)7-9x=0
The solution is x=-(-7+sqrt(469))/6 ,x=(7+sqrt(469))/6