What is the answer to (7+4x)/(-3-x)=0 ?

The answer to (7+4x)/(-3-x)=0 is x=-7/4

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(7+4x)/(-3-x)=0

\frac{7 + 4 x}{- 3 - x} = 0

x = - \frac{7}{4}

Solution steps

\frac{7 + 4 x}{- 3 - x} = 0

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

7 + 4 x = 0

Move

7

to the right side

4 x = - 7

Divide both sides by

4

x = - \frac{7}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{7}{4}

1 + \frac{2}{x} = \frac{3}{x ^{2}}

\frac{x ^{2} - 2 x}{3 x - 6} = 1

\frac{3}{2 b} = 20 - b

x, 9 - \frac{1}{x} = x

4 x^{- 2} - 7 x^{- 1} - 15 = 0