Question

Rezolva in multimea nr intregi ecuatia: 5x{3+4x(1+2×(x/3-4)}=7

Answer 1

Salutare!

$\bf 5\cdot\Big[3+4\cdot(1+2\cdot\Big(\dfrac{x}{3} -4\Big)\Big)\Big]=7$

$\bf 5\cdot\Big[3+4\cdot\Big(1+\dfrac{2x}{3} -8\Big)\Big]=7$

$\bf 5\cdot\Big(3+4+\dfrac{8x}{3} -32\Big)=7$

$\bf 5\cdot\Big(7+\dfrac{8x}{3} -32\Big)=7$

$\bf 35+\dfrac{40x}{3} -160=7$

$\bf \dfrac{40x}{3}=7 - 35 +160$

$\bf \dfrac{40x}{3}=132$

$\bf 40x=132\cdot 3$

$\bf 40x=396$

$\bf x=\dfrac{396}{40}$

$\bf x=\dfrac{\not396}{\not40}$

$\boxed{\bf x=\dfrac{99}{10} }$