How do you solve #x(x – 7) = -10#?

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Answer 1 · 2016-03-15T14:23:05

#x=5,2#

#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#