What is the answer to (9/x+12)*2=14x ?

The answer to (9/x+12)*2=14x is x=(3(2+sqrt(11)))/7 ,x=(3(2-sqrt(11)))/7

Solve for x: (9/x+12)*2=14x

The solution is x=(3(2+sqrt(11)))/7 ,x=(3(2-sqrt(11)))/7

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(\frac{9}{x} + 12) \cdot 2 = 14 x

x = \frac{3 ( 2 + 11 )}{7}, x = \frac{3 ( 2 - 11 )}{7}

Decimal Notation

x = 2.27855 \dots, x = - 0.56426 \dots

Solution steps

(\frac{9}{x} + 12) \cdot 2 = 14 x

Simplify

(\frac{9}{x} + 12) \cdot 2 : 2 (\frac{9}{x} + 12)

2 (\frac{9}{x} + 12) = 14 x

Expand

2 (\frac{9}{x} + 12) : \frac{18}{x} + 24

\frac{18}{x} + 24 = 14 x

Multiply both sides by

x

18 + 24 x = 14 x^{2}

Solve

18 + 24 x = 14 x^{2} : x = \frac{3 ( 2 + 11 )}{7}, x = \frac{3 ( 2 - 11 )}{7}

x = \frac{3 ( 2 + 11 )}{7}, x = \frac{3 ( 2 - 11 )}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3 ( 2 + 11 )}{7}, x = \frac{3 ( 2 - 11 )}{7}

2 x^{- 2} - 5 x^{- 1} - 3 = 0

\frac{4}{9} = \frac{13}{q}

\frac{5}{2 x + 6} = \frac{3}{4 x + 8}

1 = \frac{1}{x}

\frac{a - 1}{4} = \frac{8}{a + 3}

What is the answer to (9/x+12)*2=14x ?
The answer to (9/x+12)*2=14x is x=(3(2+sqrt(11)))/7 ,x=(3(2-sqrt(11)))/7
Solve for x: (9/x+12)*2=14x
The solution is x=(3(2+sqrt(11)))/7 ,x=(3(2-sqrt(11)))/7