Question

question
solve for all values of ( x ) by factoring.
( x^2 - 33 = 3 )

Explanation:

Step1: Rearrange to standard form

Subtract 3 from both sides.
$x^2 - 33 - 3 = 0$
$x^2 - 36 = 0$

Step2: Factor the difference of squares

Express as product of binomials.
$(x - 6)(x + 6) = 0$

Step3: Solve for x

Set each factor equal to 0.
$x - 6 = 0 \implies x = 6$
$x + 6 = 0 \implies x = -6$

Answer:

$x = 6$ and $x = -6$