f) [tex](x+2)^2 = x(x+6)[/tex]
[tex]x^2 + 4x + 4 = x^2 +6x[/tex]
[tex]4x + 4 = 6x[/tex]
4x - 6x = -4
-2x = -4 /:(-2)
x = 2
g) [tex]4x^2(3-2x) = (1-2x)^3[/tex]
[tex]12x^2 - 8x^3 = 1 -6x + 12x^2 - 8x^3[/tex]
6x = 1 /:6
x = [tex]\frac{1}{6}[/tex]
h) [tex](x-2)^3 = x(x-3)^2[/tex]
[tex]x^3 - 6x^2 + 12x - 8 - x = x(x^2-6x +9)[/tex]
[tex]x^3 - 6x^2 + 12x - 8 - x = x^3 - 6x^2 + 9x[/tex]
[tex]12x - 8 = 9x[/tex]
12x - 9 = 8
3x = 8 /:3
x = [tex]\frac{8}{3}[/tex]
x = [tex]2\frac{2}{3}[/tex]
