Answer: x=4
Explanation:
0=2x²-16x+32 >Take out GCF
0=2(x²-8x+16) >Find 2 numbers that multiple to last term, +16,
but add to middle term, -8
-4 and -4 multiply to +16 and add to -8
put -4 and -4 into factored form
0=2(x-4)(x-4) >Divide both sides by 2
0=(x-4)(x-4) >Normally you would set both parenthesis to 0
but they are the same so set the x-4=0
x-4=0
x=4