Final Answer
$x=-3,\:x=2$
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Step-by-step Solution
Problem to solve:
$16-x^2=10-x$
Specify the solving method
1
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
$-x^2+x=-6$
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.
Final Answer
$x=-3,\:x=2$