Question

what is $x^2 - 6 = 16x + 30$ rewritten in standard form, then factored?
$(x - 18)(x + 2) = 0$
what value(s) of $x$ make the equation true?
$x = 6$
$x = -18$ or $x = 2$
$x = -6$ or $x = 6$
$x = -2$ or $x = 18$

Explanation:

Step1: Set equation to standard form

Subtract $16x + 30$ from both sides:
$x^2 - 16x - 36 = 0$

Step2: Use zero product property

For $(x-18)(x+2)=0$, set each factor to 0:
$x-18=0$ or $x+2=0$

Step3: Solve for x in each factor

$x=18$ or $x=-2$

Answer:

x = -2 or x = 18