What is the answer to (x^2+x-30)/(x-5)=x+6 ?

The answer to (x^2+x-30)/(x-5)=x+6 is x\ne 5

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(x^2+x-30)/(x-5)=x+6

\frac{x ^{2} + x - 30}{x - 5} = x + 6

x \neq = 5

Solution steps

\frac{x ^{2} + x - 30}{x - 5} = x + 6

Simplify

\frac{x ^{2} + x - 30}{x - 5} : x + 6

x + 6 = x + 6

Both sides are equal

True for all x

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

x \neq = 5

\frac{2}{x + 5} = \frac{x + 2}{x + 3}

8 + \frac{1}{x - 1} = \frac{x}{x - 1}

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

\frac{18}{x} = 2

\frac{31}{10 s} = \frac{61}{5}

What is the answer to (x^2+x-30)/(x-5)=x+6 ?
The answer to (x^2+x-30)/(x-5)=x+6 is x\ne 5
Solve for x: (x^2+x-30)/(x-5)=x+6
The solution is x\ne 5