(x - 1)2 - (x + 2)(x - 5) + (4x - 1)2 = (-x - 1)(2 - 16x)
=> x2 - 2x + 1 - x2 + 5x - 2x + 10 + 16x2 - 8x + 1 = -2x + 16x2 -2 + 16x
=> 16x2 - 7x + 12 = 14x - 2 + 16x2
=> -21x = -14
=> 21x = 14
=> x = 2/3
\(\left(x-1\right)^2-\left(x+2\right)\left(x-5\right)+\left(4x-1\right)^2=\left(-x-1\right)\left(2-16x\right)\)
\(\Rightarrow x^2-2x+1-x^2+3x+10+16x^2-8x+1-16x^2-14x+2=0\)
\(\Rightarrow\left(x^2-x^2+16x^2-16x^2\right)+\left(-2x+3x-8x-14x\right)+\left(1+10+1+2\right)=0\)
\(\Rightarrow-21x+14=0\)
\(\Rightarrow-21x=-14\)
\(\Rightarrow x=\frac{2}{3}\)
\(x^2-2x+1-\left(x^2-3x-10\right)+16x^2-8x+1=16x^2+14x-2\)
\(x^2-2x+1-x^2+3x+10+16x^2-8x+1-16x^2-14x+2=0\)
\(-21x-14=0\)
\(-21x=14\)
\(x=\frac{-2}{3}\)