What is the answer to -17=(x^2+(7-a)x-7a)/(x+7) ?

The answer to -17=(x^2+(7-a)x-7a)/(x+7) is x=a-17

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-17=(x^2+(7-a)x-7a)/(x+7)

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

x = a - 17

Solution steps

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

Multiply both sides by

x + 7

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

Solve

- 17 (x + 7) = x^{2} + x (7 - a) - 7 a : x = a - 17, x = - 7

x = a - 17, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 7

Since the equation is undefined for:

- 7

x = a - 17

- \frac{1}{x + 4} + 2 = 0

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

y, y - \frac{2}{x ^{2}} = 0

\frac{4}{x} - \frac{1}{3} = \frac{x}{6}

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

What is the answer to -17=(x^2+(7-a)x-7a)/(x+7) ?
The answer to -17=(x^2+(7-a)x-7a)/(x+7) is x=a-17