Question 1

Solve for : x² + 8x + 14 = 23

Question 2

$\huge\text{Hey there!}$

$\mathsf{x^2 + 8x + 14 = 23}$

$\large\text{Subtract 23 to both sides:}$

$\mathsf{x^2 + 8x + 14 - 23 = 23 - 23}$

$\large\text{Simplify it:}$

$\mathsf{x^2 + 8x - 9 = 0}$

$\large\text{Factor your left side of your equation:}$

$\mathsf{(x - 1)(x + 9) = 0}$

$\large\text{Simplify it.}$

$\large\text{If you simplify it correctly, set factors to equal 0:}$

$\mathsf{x - 1 = 0\ or\ x + 9 = 0}$

$\large\text{Simplify it:}$

$\mathsf{x = 1\ or\ x = -9}$

$\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 1\ or\ x = -9}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

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