What is the answer to 11+(14x^2+6)/(7x-4)=2x-2 ?

The answer to 11+(14x^2+6)/(7x-4)=2x-2 is x= 46/99

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Popular >

11+(14x^2+6)/(7x-4)=2x-2

Solution

11 + \frac{14 x ^{2} + 6}{7 x - 4} = 2 x - 2

Solution

x = \frac{46}{99}

Decimal Notation

x = 0.46464 \dots

Solution steps

11 + \frac{14 x ^{2} + 6}{7 x - 4} = 2 x - 2

Move

11

to the right side

\frac{14 x ^{2} + 6}{7 x - 4} = 2 x - 13

Multiply both sides by

7 x - 4

14 x^{2} + 6 = 2 x (7 x - 4) - 13 (7 x - 4)

Expand

2 x (7 x - 4) : 14 x^{2} - 8 x

14 x^{2} + 6 = 14 x^{2} - 8 x - 13 (7 x - 4)

Expand

- 13 (7 x - 4) : - 91 x + 52

14 x^{2} + 6 = 14 x^{2} - 8 x - 91 x + 52

Add similar elements:

- 8 x - 91 x = - 99 x

14 x^{2} + 6 = 14 x^{2} - 99 x + 52

Move

6

to the right side

14 x^{2} = 14 x^{2} - 99 x + 46

Subtract

14 x^{2} - 99 x

from both sides

14 x^{2} - (14 x^{2} - 99 x) = 14 x^{2} - 99 x + 46 - (14 x^{2} - 99 x)

Simplify

99 x = 46

Divide both sides by

99

x = \frac{46}{99}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{7}

Combine undefined points with solutions:

x = \frac{46}{99}

Popular Examples

1-4/x =16

1 - \frac{4}{x} = 16

(1000p-5000)/(1000p)=0.25

\frac{1000 p - 5000}{1000 p} = 0.25

4/(x-8)= 8/2

\frac{4}{x - 8} = \frac{8}{2}

9/(y+1)= 18/54

\frac{9}{y + 1} = \frac{18}{54}

(k-8)/(7+k)=-1/5

\frac{k - 8}{7 + k} = - \frac{1}{5}

Frequently Asked Questions (FAQ)

What is the answer to 11+(14x^2+6)/(7x-4)=2x-2 ?
The answer to 11+(14x^2+6)/(7x-4)=2x-2 is x= 46/99
Solve for x: 11+(14x^2+6)/(7x-4)=2x-2
The solution is x= 46/99

11+(14x^2+6)/(7x-4)=2x-2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 11+(14x^2+6)/(7x-4)=2x-2 ?

Solve for x: 11+(14x^2+6)/(7x-4)=2x-2