x^2 - 3x - 10 = 0
x^2 - 8x = 0
(x + 3)(2x - 1) = 0
x^2 = 4
x^2 = 10x - 25
2x^2 - 8x - 8 = -8
x^2 - 3x - 10 = 0 factor
(x - 5)(x +2) = 0
Set each factor to 0 and solve for x and we have that x = 5 or x = -2
x^2 - 8x = 0
x( x - 8) = 0
Set each factor to 0 and solve for x and we have that x = 0 or x = 8
(x + 3)(2x - 1) = 0
This is already factored
x + 3 = 0 2x - 1 = 0
- 3 -3 + 1 + 1
x = -3 2x = 1 divide both sides by 2
x = 1/2
x^2 = 4 subtract 4 from both sides
x^2 - 4 = 0 factor
( x + 2) ( x - 2) = 0
Settting each factor to 0 and solving and we have that x = -2 or x = 2
x^2 = 10x - 25 subtract 10x from both sides, add 25 to both sides
x^2 - 10x + 25 = 0 factor
(x - 5) ( x - 5) = 0
Settting each factor to 0 and solving and we have that x = 5 ( one solution )
2x^2 - 8x - 8 = -8 add 8 to both sides
2x^2 - 8x = 0 factor
2x ( x - 4) = 0
Set each factor to 0 and solve and x = 0 or x = 4