What is the answer to 7/x+3= x/4 ?

The answer to 7/x+3= x/4 is x=14,x=-2

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7/x+3= x/4

\frac{7}{x} + 3 = \frac{x}{4}

x = 14, x = - 2

Solution steps

\frac{7}{x} + 3 = \frac{x}{4}

Multiply by LCM

28 + 12 x = x^{2}

Solve

28 + 12 x = x^{2} : x = 14, x = - 2

x = 14, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 14, x = - 2

\frac{- 2}{x - 2} = 1 - \frac{3}{x + 8}

2 F - G = \frac{D}{h} h D

(\frac{4}{x}) = 5

a, \frac{5}{a} = b

\frac{6}{u} = - 8