What is the answer to (x-2)/(2x^2-7x-15)x=-2 ?

The answer to (x-2)/(2x^2-7x-15)x=-2 is x=-(-8+sqrt(214))/5 ,x=(8+sqrt(214))/5

Solve for x: (x-2)/(2x^2-7x-15)x=-2

The solution is x=-(-8+sqrt(214))/5 ,x=(8+sqrt(214))/5

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\frac{x - 2}{2 x ^{2} - 7 x - 15} x = - 2

x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

Decimal Notation

x = - 1.32574 \dots, x = 4.52574 \dots

Solution steps

\frac{x - 2}{2 x ^{2} - 7 x - 15} x = - 2

Simplify

\frac{x - 2}{2 x ^{2} - 7 x - 15} x : \frac{x ( x - 2 )}{2 x ^{2} - 7 x - 15}

\frac{x ( x - 2 )}{2 x ^{2} - 7 x - 15} = - 2

Multiply both sides by

2 x^{2} - 7 x - 15

x (x - 2) = - 2 (2 x^{2} - 7 x - 15)

Solve

x (x - 2) = - 2 (2 x^{2} - 7 x - 15) : x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - \frac{3}{2}

Combine undefined points with solutions:

x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

b, 2 = q + \frac{f}{b}

x, \frac{- y}{x + 1} (2) = 3

\frac{6}{f} - \frac{10}{3 f} = 2

879200 = \frac{405}{b ^{2}}

\frac{2 x + 3}{15 x - 6} = \frac{5}{9}

What is the answer to (x-2)/(2x^2-7x-15)x=-2 ?
The answer to (x-2)/(2x^2-7x-15)x=-2 is x=-(-8+sqrt(214))/5 ,x=(8+sqrt(214))/5
Solve for x: (x-2)/(2x^2-7x-15)x=-2
The solution is x=-(-8+sqrt(214))/5 ,x=(8+sqrt(214))/5