What is the answer to x/(4(x-6/2))=x((x-3))/(14) ?

The answer to x/(4(x-6/2))=x((x-3))/(14) is x=0,x=-sqrt(7/2)+3,x=sqrt(7/2)+3

Solve for x: x/(4(x-6/2))=x((x-3))/(14)

The solution is x=0,x=-sqrt(7/2)+3,x=sqrt(7/2)+3

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\frac{x}{4 ( x - \frac{6}{2} )} = x \frac{( x - 3 )}{14}

x = 0, x = - \frac{7}{2} + 3, x = \frac{7}{2} + 3

Decimal Notation

x = 0, x = 1.12917 \dots, x = 4.87082 \dots

Solution steps

\frac{x}{4 ( x - \frac{6}{2} )} = x \frac{( x - 3 )}{14}

Cross multiply

x \cdot 14 = 4 x (x - 3)^{2}

Solve

x \cdot 14 = 4 x (x - 3)^{2} : x = 0, x = - \frac{7}{2} + 3, x = \frac{7}{2} + 3

x = 0, x = - \frac{7}{2} + 3, x = \frac{7}{2} + 3

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 0, x = - \frac{7}{2} + 3, x = \frac{7}{2} + 3

\frac{17 ( 2 - x ) - 5 ( x + 12 )}{1 - 7 x} = 8

\frac{2 + x}{( x + 1 )} = 1 + 3

\frac{14}{( n + 7 )} = \frac{10}{( n - 4 )}

1.8 = \frac{x}{( 1 - x ) \cdot 55.5}

\frac{- 1.2}{x + 7} = 7.24

What is the answer to x/(4(x-6/2))=x((x-3))/(14) ?
The answer to x/(4(x-6/2))=x((x-3))/(14) is x=0,x=-sqrt(7/2)+3,x=sqrt(7/2)+3
Solve for x: x/(4(x-6/2))=x((x-3))/(14)
The solution is x=0,x=-sqrt(7/2)+3,x=sqrt(7/2)+3