What is the answer to (x)=((x^2-7x+12))/((7x)) ?

The answer to (x)=((x^2-7x+12))/((7x)) is x=-(7+sqrt(337))/(12),x=(sqrt(337)-7)/(12)

Solve for x: (x)=((x^2-7x+12))/((7x))

The solution is x=-(7+sqrt(337))/(12),x=(sqrt(337)-7)/(12)

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(x) = \frac{( x ^{2} - 7 x + 12 )}{( 7 x )}

x = - \frac{7 + 337}{12}, x = \frac{337 - 7}{12}

Solution steps

(x) = \frac{( x ^{2} - 7 x + 12 )}{( 7 x )}

Simplify

\frac{( x ^{2} - 7 x + 12 )}{( 7 x )} : \frac{x ^{2} - 7 x + 12}{7 x}

(x) = \frac{x ^{2} - 7 x + 12}{7 x}

Multiply both sides by

x

x^{2} = \frac{x ^{2} - 7 x + 12}{7}

Solve

x^{2} = \frac{x ^{2} - 7 x + 12}{7} : x = - \frac{7 + 337}{12}, x = \frac{337 - 7}{12}

x = - \frac{7 + 337}{12}, x = \frac{337 - 7}{12}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{7 + 337}{12}, x = \frac{337 - 7}{12}

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

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

\frac{12}{15} = \frac{20}{x}

\frac{5}{4 - m} = - \frac{3}{m + 2}

\frac{x ^{2} + x - 30}{x - 5} = x + 6

What is the answer to (x)=((x^2-7x+12))/((7x)) ?
The answer to (x)=((x^2-7x+12))/((7x)) is x=-(7+sqrt(337))/(12),x=(sqrt(337)-7)/(12)
Solve for x: (x)=((x^2-7x+12))/((7x))
The solution is x=-(7+sqrt(337))/(12),x=(sqrt(337)-7)/(12)