Answer:
[tex]21 x^2 +75 x+36 =0[/tex]
Step-by-step explanation:
Let us assume that the negative integer is -x
Now we have
Seventy - five times a negative integer = [tex]75 (-x ) = -75 x[/tex]
Seventy - five times a negative integer minus 36 = [tex]-75x - 36[/tex]
Square of negative integer = [tex](-x)^2 = x^2[/tex]
21 times the square of negative integer = [tex]21 x^2[/tex]
Now it is given that
Seventy - five times a negative integer minus 36 is equal to 21 times the square of negative integer
So we have
[tex]-75x -36 = 21 x^2[/tex]
We can also try to write this in standard form by bring all the terms to one side
[tex]-75x = 21 x^2 +36[/tex] ( adding 36 to both sides)
[tex]0 = 21 x^2 +75 x+ 36[/tex] ( adding 75x to both sides )
[tex]21 x^2 +75 x+36 =0[/tex] ( Answer )
