Question

solve for all values of x by factoring. x² + x - 22 = x + 3

Explanation:

Step1: Simplify the equation

Subtract $x + 3$ from both sides: $x^2 + x - 22 - x - 3 = 0$ → $x^2 - 25 = 0$

Step2: Factor the difference of squares

$x^2 - 5^2 = (x - 5)(x + 5) = 0$

Step3: Solve for x

Set each factor to zero: $x - 5 = 0$ → $x = 5$; $x + 5 = 0$ → $x = -5$

Answer:

$x = 5$ or $x = -5$