[latex]frac{2-3x}{25 x^{2} -9} - frac{x-4}{5x+3}=[/latex] [latex]frac{2-3x}{(5x+3)(5x-3)} - frac{x-4}{5x+3}=[/latex] [latex]frac{2-3x}{(5x+3)(5x-3)} - frac{(x-4)(5x-3)}{(5x+3)(5x-3)}=[/latex] [latex]frac{2-3x-(x-4)(5x-3)}{(5x+3)(5x-3)}=[/latex] [latex]frac{2-3x-(5x^2-3x-20x+12)}{(5x+3)(5x-3)}=[/latex] [latex]frac{2-3x-5x^2+3x+20x-12}{(5x+3)(5x-3)}=[/latex] [latex]frac{- 5x^2 + 20x - 10}{(5x+3)(5x-3)}[/latex] Założenie: [latex]5x+3 eq 0 Rightarrow 5x eq -3 /:5 Rightarrow x eq - frac{3}{5}[/latex] [latex]5x-3 eq 0 Rightarrow 5x eq 3 /:5 Rightarrow x eq frac{3}{5} [/latex]
