How do you solve this equation?

35x^2-49x
__________
-7x

From the way you have it posted, it is unclear what you mean.

(35x^2 - 49x)/-7x or 35x^2 - 49x/-7x (?)

(35x^2 - 49x)/-7x = -5x + 7

35x^2 - 49x/-7x = 35x^2 + 7

use pythagoras theorm

To solve the given equation (35x^2-49x)/(-7x), follow the steps below:

Step 1: Simplify the numerator.
In this case, we have 35x^2-49x. We can factor out common terms: 35x(x - 7), since both terms are divisible by 35x.

Step 2: Rewrite the equation with the simplified numerator.
The equation now becomes (35x(x - 7))/(-7x).

Step 3: Simplify further by canceling out common factors.
Notice that there is a common factor of x in both the numerator and denominator. By canceling out x from both, we obtain the simplified equation: 35(x - 7)/-7.

Step 4: Simplify the final result.
We can simplify further by dividing 35 by -7, which gives us -5. So the final solution to the equation is -5(x - 7).