## Final Answer

## Step-by-step Solution

Problem to solve:

Specify the solving method

Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side

Learn how to solve quadratic equations problems step by step online.

$-x^2+x=-6$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 16-x^2=10-x. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Rewrite the equation. Factor the trinomial by -1 for an easier handling. Factor the trinomial -\left(x^2+x-6\right) finding two numbers that multiply to form -6 and added form -1.