Question

Розв’язати рівняння: x(3x-5) - x = (2x-3)(x-2) - 6
даю 30 балів​

Answer 1

$\displaystyle\bf\\x(3x-5)-x=(2x-3)(x-2)-6\\\\x\cdot 3x-x\cdot 5-x=2x\cdot x-2x\cdot 2-3\cdot x-3\cdot (-2)-6\\\\3x^{2} -5x-x=2x^{2} -4x-3x+6-6\\\\3x^{2} -6x=2x^{2} -7x\\\\3x^{2} -6x-2x^{2} +7x=0\\\\x^{2} +x=0\\\\x\cdot (x+1)=0\\\\\\\left[\begin{array}{ccc}x=0\\x+1=0\end{array}\right\\\\\\\left[\begin{array}{ccc}x_{1} =0\\x_{2} =-1\end{array}\right\\\\\\Otvet \ : \ -1 \ ; \ 0$