solve by factoring 25x^2 -36 =0
To solve the equation 25x^2 - 36 = 0 by factoring, we can rewrite it as a difference of squares: (5x)^2 - 6^2 = 0.
Now we have (5x + 6)(5x - 6) = 0.
Setting each factor equal to zero, we have 5x + 6 = 0 or 5x - 6 = 0.
Solving for x in each equation gives us:
5x + 6 = 0
5x = -6
x = -6/5
5x - 6 = 0
5x = 6
x = 6/5
So the solutions to the equation 25x^2 - 36 = 0 are x = -6/5 and x = 6/5.