What is the answer to (x^2)/(x-6)=(36)/(x-6) ?

The answer to (x^2)/(x-6)=(36)/(x-6) is x=-6

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(x^2)/(x-6)=(36)/(x-6)

\frac{x ^{2}}{x - 6} = \frac{36}{x - 6}

x = - 6

Solution steps

\frac{x ^{2}}{x - 6} = \frac{36}{x - 6}

Multiply both sides by

x - 6

x^{2} = 36

Solve

x^{2} = 36 : x = 6, x = - 6

x = 6, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 6

Since the equation is undefined for:

6

x = - 6

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

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

\frac{1}{x - 2} + \frac{1}{x + 2} = \frac{6}{5}

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

\frac{2}{a - 2} = \frac{3 a - 1}{2 a + 11}

What is the answer to (x^2)/(x-6)=(36)/(x-6) ?
The answer to (x^2)/(x-6)=(36)/(x-6) is x=-6
Solve for x: (x^2)/(x-6)=(36)/(x-6)
The solution is x=-6