Answer:
[tex]x^2-3x-12=0[/tex]
Step-by-step explanation:
To find the quadratic equation from [tex](x-3)(x+4)=4x[/tex] , we need to expand and simplify the expression:
1. Expand the left-hand side:
[tex](x-3)(x+4) = x^2+4x-3x-12 = x^2+x-12[/tex]
2. Set the expanded form equal to the right-hand side:
[tex]x^2+x-12=4x[/tex]
3. Move all terms to one side to form a standard quadratic equation:
[tex]x^2+x-12-4x=0[/tex] ⟹ [tex]x^2-3x-12 = 0[/tex]
So, the quadratic equation is:
[tex]x^2-3x-12=0[/tex]
