What is the answer to x/(4(2x-3))=6x+2 ?

The answer to x/(4(2x-3))=6x+2 is x=(19+3sqrt(97))/(32),x=(19-3sqrt(97))/(32)

Solve for x: x/(4(2x-3))=6x+2

The solution is x=(19+3sqrt(97))/(32),x=(19-3sqrt(97))/(32)

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\frac{x}{4 ( 2 x - 3 )} = 6 x + 2

x = \frac{19 + 3 97}{32}, x = \frac{19 - 3 97}{32}

Decimal Notation

x = 1.51708 \dots, x = - 0.32958 \dots

Solution steps

\frac{x}{4 ( 2 x - 3 )} = 6 x + 2

Multiply both sides by

4 (2 x - 3)

x = 24 x (2 x - 3) + 8 (2 x - 3)

Solve

x = 24 x (2 x - 3) + 8 (2 x - 3) : x = \frac{19 + 3 97}{32}, x = \frac{19 - 3 97}{32}

x = \frac{19 + 3 97}{32}, x = \frac{19 - 3 97}{32}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{19 + 3 97}{32}, x = \frac{19 - 3 97}{32}

e (x) = \frac{1}{x} - \frac{1}{∣ x ∣}

\frac{( ( 1 - x ) ^{3} ( x + 2 ) ^{4} )}{( ( x + 9 ) ^{2} ( x - 8 ) )} = 0

9.6 = \frac{- 1}{10 ( x - 12 ) ^{2} + 10}

2 (\frac{x - 1}{x})^{2} - 5 (\frac{x + 1}{x + 2}) + 18 = 0

\frac{( x ^{- 2} )}{x} = \frac{1}{( x ^{12} )}

What is the answer to x/(4(2x-3))=6x+2 ?
The answer to x/(4(2x-3))=6x+2 is x=(19+3sqrt(97))/(32),x=(19-3sqrt(97))/(32)
Solve for x: x/(4(2x-3))=6x+2
The solution is x=(19+3sqrt(97))/(32),x=(19-3sqrt(97))/(32)