Factor x^2 - 8x + 15 + x^2 - 4x + 3 Find all values of x such that x^2 - 8x + 15 + x^2 - 4x + 3 = 0. If you find more than one value, then list your solutions, separated by commas.
x^2 - 8x + 15 + x^2 - 4x + 3
Collect like terms
= 2x^2 - 12x + 18
= 2x^2 - 6x + 18 - 6x
= 2x(x-3) - 6(x-3)
= (2x-6)(x-3)
2x = 6
x=3
or x-3 = 0
So the only solution is x = 3
+1678 
