What is the answer to (2+3)/((2x+1)(2x-1))=3 ?

The answer to (2+3)/((2x+1)(2x-1))=3 is x=sqrt(2/3),x=-sqrt(2/3)

Solve for x: (2+3)/((2x+1)(2x-1))=3

The solution is x=sqrt(2/3),x=-sqrt(2/3)

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

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

Decimal Notation

x = 0.81649 \dots, x = - 0.81649 \dots

Solution steps

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

Simplify

\frac{2 + 3}{( 2 x + 1 ) ( 2 x - 1 )} : \frac{5}{( 2 x + 1 ) ( 2 x - 1 )}

\frac{5}{( 2 x + 1 ) ( 2 x - 1 )} = 3

Multiply both sides by

(2 x + 1) (2 x - 1)

5 = 3 (2 x + 1) (2 x - 1)

Solve

5 = 3 (2 x + 1) (2 x - 1) : x = \frac{2}{3}, x = - \frac{2}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}, x = \frac{1}{2}

Combine undefined points with solutions:

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

8 x - x^{- 2} = 0

12 - \frac{25}{x} = 4 + \frac{7}{x}

\frac{x + 1}{4} = \frac{1}{2 x}

\frac{a + 4}{5 + a} = 1

(\frac{6}{y})^{2} + y^{2} = 13

What is the answer to (2+3)/((2x+1)(2x-1))=3 ?
The answer to (2+3)/((2x+1)(2x-1))=3 is x=sqrt(2/3),x=-sqrt(2/3)
Solve for x: (2+3)/((2x+1)(2x-1))=3
The solution is x=sqrt(2/3),x=-sqrt(2/3)