Question

question
solve for all values of ( x ) by factoring.
( x^2 - 9x + 1 = 1 )

Explanation:

Step1: Simplify the equation

Subtract 1 from both sides.
$x^2 - 9x + 1 - 1 = 1 - 1$
$x^2 - 9x = 0$

Step2: Factor out the GCF

Factor $x$ from the left side.
$x(x - 9) = 0$

Step3: Apply zero product rule

Set each factor equal to 0.
$x = 0$ or $x - 9 = 0$

Step4: Solve for x

Solve each resulting equation.
$x = 0$ or $x = 9$

Answer:

$x = 0$ and $x = 9$