Question

solve for all values of x by factoring.
\\(x^2 - 12x - 5 = -6x + 2\\)

Explanation:

Step1: Rearrange to standard form

$x^2 - 12x -5 +6x -2 =0$
$x^2 -6x -7 =0$

Step2: Factor the quadratic

Find two numbers: product=-7, sum=-6 → -7 and 1
$(x -7)(x +1)=0$

Step3: Solve for x

$x -7=0$ or $x +1=0$
$x=7$ or $x=-1$

Answer:

$x = 7$ or $x = -1$