Sagot :
Answer:
x² - x - 5 = 0
Step-by-step explanation:
[tex]\sf (x-2)(x+4)=3(x-1)[/tex]
[tex]\implies \sf x(x) + x(4) + (-2)(x)+(-2)(4)=3(x) + 3(-1)[/tex]
[tex]\implies \sf x^2 + 4x - 2x - 8 = 3x - 3[/tex]
[tex]\implies \sf x^2 + 2x - 8 = 3x - 3[/tex]
[tex]\implies \sf (x^2 + 2x - 8) - (3x-3) =3x-3-(3x-3)[/tex]
[tex]\implies \sf x^2 + 2x - 8 - 3x + 3 = 0[/tex]
[tex]\implies \sf x^2 + 2x - 3x -8 + 3 = 0[/tex]
[tex]\implies \boxed{\boxed{\sf x^2 - x - 5 = 0}}[/tex]
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