How do you factor and solve #X^2 + 100 = 20X#?

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Oct 2, 2016

#x=10#

Explanation:

#x^2+100=20x#

#x^2 color(white)(aaaaaa)+100=color(white)a20x#
#color(white)(aa)-20xcolor(white)(aaaaaaa)-20xcolor(white)(aaa)#Subtract #20x# from both sides.

#x^2-20x+100=0#
#(x-10)(x-10)=0color(white)(aaaaa)#Factor

#x-10=0color(white)(aaa)x-10=0color(white)(aaa)#Set each factor equal to zero

#x-10=color(white)(aa)0#
#color(white)(a)+10color(white)(aa)+10color(white)(aaa)#Add 10 to both sides

#x=10#

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