2x2 - 8x + 3x - 12 + x2 - 2x - 5x + 10 = 3x2 - 12x - 5x + 20
2x2 + x2 - 3x2 - 8x + 3x - 2x - 5x + 12x + 5x = 20 - 10 +12
5x = 22
x = 4,4
a/ \(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x-5\right)\left(x-4\right)\)
<=> \(\left(2x-3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)-\left(3x-5\right)\left(x-4\right)=0\)
<=> \(2x^2-8x-3x+12+x^2-2x-5x+10-\left(3x^2-12x-5x+20\right)=0\)
<=> \(2x^2-11x+12+x^2-7x+10-3x^2+17x-20=0\)
<=> \(2-x=0\)
<=> \(x=2\)
Bài làm :
Ta có :
\(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x-5\right)\left(x-4\right)\)
\(\Leftrightarrow\left(2x-3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)-\left(3x-5\right)\left(x-4\right)=0\)
\(\Leftrightarrow2x^2-8x-3x+12+x^2-2x-5x+10-\left(3x^2-12x-5x+20\right)=0\)
\(\Leftrightarrow2x^2-11x+12+x^2-7x+10-3x^2+17x-20=0\)
\(\Leftrightarrow2-x=0\)
\(\Leftrightarrow x=2\)
Vậy x=2