Question

3/2x - 2/3x=2

Answer 1

Answer

$x = 0 \: or \: 4.17 \times {10}^{ - 1}$ ( 5 /12 )

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

multiplying the denominators to get the L.C.M since there is no common factor.

$2x \times 3x = 6 {x}^{2}$

as the L.C .M

so now the general equation becomes

$\frac{ \frac{3}{2x} - \frac{2}{3x} }{6 {x}^{2} } = 2$

$\frac{9x - 4x}{6 {x}^{2} } = 2$

$5x = 6 {x}^{2} \times 2$

$5x = 12 {x}^{2}$

$12 {x}^{2} - 5x = 0$

factorizing x

$x(12x - 5) = 0$

$x = 0$

$12x - 5 = 0$

$12x = 5$

$x = \frac{5}{12}$

$x = 0.416$

$x = 4.17 \times {10}^{ - 1}$