What is the answer to (10x^2-5x+8)/(5x^2+9x-19)=2 ?

The answer to (10x^2-5x+8)/(5x^2+9x-19)=2 is x=2

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(10x^2-5x+8)/(5x^2+9x-19)=2

\frac{10 x ^{2} - 5 x + 8}{5 x ^{2} + 9 x - 19} = 2

x = 2

Solution steps

\frac{10 x ^{2} - 5 x + 8}{5 x ^{2} + 9 x - 19} = 2

Multiply both sides by

5 x^{2} + 9 x - 19

10 x^{2} - 5 x + 8 = 2 (5 x^{2} + 9 x - 19)

Expand

2 (5 x^{2} + 9 x - 19) : 10 x^{2} + 18 x - 38

10 x^{2} - 5 x + 8 = 10 x^{2} + 18 x - 38

Move

8

to the right side

10 x^{2} - 5 x = 10 x^{2} + 18 x - 46

Subtract

10 x^{2} + 18 x

from both sides

10 x^{2} - 5 x - (10 x^{2} + 18 x) = 10 x^{2} + 18 x - 46 - (10 x^{2} + 18 x)

Simplify

- 23 x = - 46

Divide both sides by

- 23

x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{- 9 + 461}{10}, x = \frac{- 9 - 461}{10}

Combine undefined points with solutions:

x = 2

x, z = \frac{y}{x}

\frac{4}{2 x - 1} = 10

\frac{22}{x} = \frac{88}{100}

\frac{2 t}{( 4 - t ^{2} ) ^{2}} = 0

\frac{125}{x ^{2}} + \frac{35}{x} + 2 = 8

What is the answer to (10x^2-5x+8)/(5x^2+9x-19)=2 ?
The answer to (10x^2-5x+8)/(5x^2+9x-19)=2 is x=2
Solve for x: (10x^2-5x+8)/(5x^2+9x-19)=2
The solution is x=2