What is the answer to (x^2)/(x-10)=(100)/(x-10)-10 ?

The answer to (x^2)/(x-10)=(100)/(x-10)-10 is x=-20

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(x^2)/(x-10)=(100)/(x-10)-10

\frac{x ^{2}}{x - 10} = \frac{100}{x - 10} - 10

x = - 20

Solution steps

\frac{x ^{2}}{x - 10} = \frac{100}{x - 10} - 10

Multiply both sides by

x - 10

x^{2} = 100 - 10 (x - 10)

Solve

x^{2} = 100 - 10 (x - 10) : x = 10, x = - 20

x = 10, x = - 20

Verify Solutions

Find undefined (singularity) points:

x = 10

Since the equation is undefined for:

10

x = - 20

x - \frac{3 x + 5}{x - 10} = 5

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

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

\frac{3}{x ^{2}} - \frac{44}{x} = 15

\frac{5}{2 x - 2} = \frac{15}{x ^{2} - 1}

What is the answer to (x^2)/(x-10)=(100)/(x-10)-10 ?
The answer to (x^2)/(x-10)=(100)/(x-10)-10 is x=-20
Solve for x: (x^2)/(x-10)=(100)/(x-10)-10
The solution is x=-20