Question

solve for all values of x by factoring.
$x^2 + 4x - 14 = 4x - 5$

Explanation:

Step1: Simplify the equation

$x^2 + 4x - 14 = 4x - 5$
Subtract $4x$ from both sides:
$x^2 - 14 = -5$

Step2: Isolate $x^2$

Add 14 to both sides:
$x^2 = -5 + 14$
$x^2 = 9$

Step3: Solve for $x$

Take square root of both sides:
$x = \pm\sqrt{9}$
$x = 3$ or $x = -3$

Answer:

$x=3$ and $x=-3$