What is the answer to (x-5)/(x^2-3x-10)=2 ?

The answer to (x-5)/(x^2-3x-10)=2 is x=-3/2

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(x-5)/(x^2-3x-10)=2

\frac{x - 5}{x ^{2} - 3 x - 10} = 2

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

\frac{x - 5}{x ^{2} - 3 x - 10} = 2

Simplify

\frac{x - 5}{x ^{2} - 3 x - 10} : \frac{1}{x + 2}

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

Multiply both sides by

x + 2

1 = 2 (x + 2)

Switch sides

2 (x + 2) = 1

Divide both sides by

2

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

Move

2

to the right side

x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 2

Combine undefined points with solutions:

x = - \frac{3}{2}

\frac{18}{26} = \frac{3}{g + 4}

\frac{x}{x + 3} = \frac{x + 3}{x + 7}

\frac{108}{x} + 25 = 30

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

\frac{n}{4} = \frac{24}{n}

What is the answer to (x-5)/(x^2-3x-10)=2 ?
The answer to (x-5)/(x^2-3x-10)=2 is x=-3/2
Solve for x: (x-5)/(x^2-3x-10)=2
The solution is x=-3/2