Answer:
[tex]4x^2 - 9x - 5 = 0[/tex]
Step-by-step explanation:
To place the equation in standard form, we expand the operations. So
[tex]4(x-1)^2 = x + 9[/tex]
[tex]4(x^2-2x+1) = x + 9[/tex]
[tex]4x^2 - 8x + 4 - x - 9 = 0[/tex]
Combining the like terms:
[tex]4x^2 - 9x - 5 = 0[/tex]
