Question

What are the solutions of ${x}^{2} + 6x - 6 = 10.$

Answer 1

The first step is to equal the quadratic expression to zero, it means that we have to eliminate the 10 that is in one of the sides of the equation:

$\begin{gathered} x^2+6x-6=10 \\ x^2+6x-6-10=10-10 \\ x^2+6x-16=0 \end{gathered}$

Then, we have to factor the expression:

$(x+8)(x-2)=0$

Now, find the solutions of the equations by making each factor equal to zero and solving for x:

$\begin{gathered} x+8=0 \\ x=-8 \\ x-2=0 \\ x=2 \end{gathered}$

The solutions of the equation are x=-8 or x=2.

It means that the correct answer is the last choice.