Respuesta :
Respuesta:
x=1\2 x=0
Explicación paso a paso:
- restar 1\2
- simplificar
- utilizar el teorema del factor 0
- multiplicar y simplificar
[tex]\frac{1}{2}-\frac{3}{4}x\left(0.2x-0.1\right)=\frac{1}{2}\\\\\\\frac{1}{2}-\frac{3}{4}x\left(0.2x-0.1\right)-\frac{1}{2}=\frac{1}{2}-\frac{1}{2}\\\\\\-\frac{3}{4}x\left(0.2x-0.1\right)=0\\\\\\x=0\quad \mathrm{or}\quad \:0.2x-0.1=0\\\\\\0.2x-0.1=0\\\\\\0.2x\cdot \:10-0.1\cdot \:10=0\cdot \:10\\\\\\2x-1=0\\\\\\2x-1+1=0+1\\\\\\2x=1\\\\\\\frac{2x}{2}=\frac{1}{2}\\\\\\x=\frac{1}{2}[/tex]
