## anonymous one year ago can someone walk me through this step by step

1. anonymous

$\large \cfrac{7x^2+11x-6}{7x^2-10x+3}$

What do you want to find? Do have to find x? (does the equation = 0?) Are you supposed to simplify?

3. anonymous

simplify

Alright. So, the numerator and denominator are both quadratic equations $7x^2 +11x - 6 = (7x - 3)(x+2)$ $7x^2 -10x +3 = (7x - 3)(x -1)$ Therefore, simplified, the equation = $\frac{ x+2 }{ x-1 }$ It cannot be further simplified. If you want to check your answer you could substitute the value of x for an integer.

*simplified further excuse my grammar

6. anonymous