How do you solve #x(x – 7) = -10#?

1 Answer
Mar 15, 2016

Answer:

#x=5,2#

Explanation:

#color(blue)(x(x-7)=-10#

Use distributive property #color(brown)(a(b+c)=ab+ac#

#rarrx^2-7x=-10#

#rarrx^2-7x+10=0#

Factor the equation

#rarr(x-5)(x-2)=0#

Now we have #color(green)(x=5,2#

#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#

Check #(5)#

#5(5-7)=-10#

#25-35=-10#

#color(green)(-10=-10#

Check #(2)#

#2(2-7)=-10#

#4-14=-10#

#color(green)(-10=-10#