Question

(2x+1/x)^2 + 4 = 5(2x+1)​

Answer 1

Answer:

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Algebra Examples

Popular Problems Algebra Solve by Factoring (2x-1)/(x+2)=4/5

2x-1

x+2

=

4

5

Move

4

5

to the left side of the equation by subtracting it from both sides.

2x-1

x+2

-

4

5

=0

Simplify

2x-1

x+2

-

4

5

.

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6x-13

5(x+2)

=0

To write

2x-1

x+2

as a fraction with a common denominator, multiply by

5

5

.

2x-1

x+2

⋅

5

5

-

4

5

=0

To write -

4

5

as a fraction with a common denominator, multiply by

x+2

x+2

.

2x-1

x+2

⋅

5

5

-

4

5

⋅

x+2

x+2

=0

Write each expression with a common denominator of (x+2)⋅5, by multiplying each by an appropriate factor of 1.

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(2x-1)⋅5

5(x+2)

-

4(x+2)

5(x+2)

=0

Combine the numerators over the common denominator.

(2x-1)⋅5-4(x+2)

5(x+2)

=0

Simplify the numerator.

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6x-13

5(x+2)

=0

Find the LCD of the terms in the equation.

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5(x+2)

Multiply each term by 5(x+2) and simplify.

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6x-13=0

Solve the equation.

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x=

13

6