Question

Solve for all values of xx by factoring.
x, squared, plus, 2, x, minus, 9, equals, 2, x
x
2
+2x−9=
2x
Answer

Additional Solution
No Solution

Answer 1

Start with
x^2 + 2x − 9 = 2x.

Subtract 2x from both sides:
x^2 − 9 = 0.

Factor as a difference of squares:
(x − 3)(x + 3) = 0.

So x − 3 = 0 or x + 3 = 0, giving
x = 3 or x = −3.