\(\left(x+2\right)^2=4\left(x-1\right)^2\\ =>\left(x+2\right)^2=\left[2\left(x-1\right)\right]^2\\ =>x+2=2x-2\\ =>x+2-2x+2=0\\ =>-x+4=0\\ =>x=4\)
`( x + 2 ) ^2 = 4 ( x − 1 ) ^2`
`( x + 2 ) ^2 = [ 2 ( x − 1 ) ] ^2`
`x + 2 = 2 x − 2`
`x + 2 − 2 x + 2 = 0`
`− x + 4 = 0`
` x = 4`