How do you solve #|-4x-3| = |-7x+7|#?

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Answer 1 · 2017-12-03T12:03:25

#x_1=4/11# and #x_2=10/3#

#abs(-4x-3)=abs(-7x+7)#

#(-4x-3)^2=(-7x+7)^2#

#16x^2+24x+9=49x^2-98x+49#

#33x^2-122x+40#

#33x^2-110x-12x+40=0#

#11x*(3x-10)-4*(3x-10)=0#

#(11x-4)*(3x-10)=0#

Hence #x_1=4/11# and #x_2=10/3#