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 $x_2=10/3$

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