Solve for all values of xx by factoring.

Question

x, squared, minus, 36, equals, 0
x
2
−36=
0

Answer 1

To solve for all values of x, we first set the equation equal to 0:

x^2 - 36 = 0

Next, we can factor the left side of the equation as a different of squares:

(x + 6)(x - 6) = 0

Now we can set each factor equal to 0 and solve for x:

x + 6 = 0
x = -6

x - 6 = 0
x = 6

Therefore, the two values of x that satisfy the equation are x = -6 and x = 6.