Solve for all values of xx by factoring.
x, squared, minus, 36, equals, 0
x
2
−36=
0
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.