What is the answer to -7=(x^2+(5-a)x-5a)/(x+5) ?

The answer to -7=(x^2+(5-a)x-5a)/(x+5) is x=a-7

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-7=(x^2+(5-a)x-5a)/(x+5)

- 7 = \frac{x ^{2} + ( 5 - a ) x - 5 a}{x + 5}

x = a - 7

Solution steps

- 7 = \frac{x ^{2} + ( 5 - a ) x - 5 a}{x + 5}

Multiply both sides by

x + 5

- 7 (x + 5) = x^{2} + x (5 - a) - 5 a

Solve

- 7 (x + 5) = x^{2} + x (5 - a) - 5 a : x = a - 7, x = - 5

x = a - 7, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 5

Since the equation is undefined for:

- 5

x = a - 7

\frac{2}{3} = \frac{1}{y} + \frac{1}{6}

\frac{6}{x ^{3}} = 0

n + \frac{4}{n} = \frac{29}{5}

1 - \frac{2}{3 - \frac{4}{5 - \frac{6}{x}}} = 0

\frac{11}{x + 4} = - \frac{11}{7}

What is the answer to -7=(x^2+(5-a)x-5a)/(x+5) ?
The answer to -7=(x^2+(5-a)x-5a)/(x+5) is x=a-7