What is the answer to 0=(x+3)/(2x^2-6) ?

The answer to 0=(x+3)/(2x^2-6) is x=-3

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0=(x+3)/(2x^2-6)

0 = \frac{x + 3}{2 x ^{2} - 6}

x = - 3

Solution steps

0 = \frac{x + 3}{2 x ^{2} - 6}

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

0 = x + 3

Switch sides

x + 3 = 0

Move

3

to the right side

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x = - 3

\frac{( x + 5 ) ^{2} - 4}{x + 3} = 0

\frac{2}{x - 1} - \frac{3}{x + 3} = 0

\frac{21}{x} = - \frac{7}{3}

\frac{7}{8} = \frac{5}{x}

- \frac{6}{7} = \frac{12}{x}