What is the answer to 0=(36-x^2)/(x^2+6x) ?

The answer to 0=(36-x^2)/(x^2+6x) is x=6

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0=(36-x^2)/(x^2+6x)

0 = \frac{36 - x ^{2}}{x ^{2} + 6 x}

x = 6

Solution steps

0 = \frac{36 - x ^{2}}{x ^{2} + 6 x}

Simplify

\frac{36 - x ^{2}}{x ^{2} + 6 x} : - \frac{x - 6}{x}

0 = - \frac{x - 6}{x}

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

0 = x - 6

Switch sides

x - 6 = 0

Move

6

to the right side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 6

Combine undefined points with solutions:

x = 6

\frac{1}{100} = (\frac{5 - x}{x}) 1

\frac{x}{1 - x} = 0

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

x, y = \frac{7}{9 - x}

\frac{( 2 - r )}{( r )} = 1.25

What is the answer to 0=(36-x^2)/(x^2+6x) ?
The answer to 0=(36-x^2)/(x^2+6x) is x=6
Solve for x: 0=(36-x^2)/(x^2+6x)
The solution is x=6