How do you solve $|3x + 10| = | - 3x - 10|$ ?

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Answer 1 · 2017-07-04T22:05:51

$x=+-10/3$

Square both sides to keep the equations positive:
$9x^2 + 60x + 100 = -9x^2 + 60x +100$

Collecting:
$18x^2 + 200 = 0$
$2(9x^2 + 100) = 0$
$2(3x+10)(3x-10) = 0$

Gives the answer above

How do you solve |3x + 10| = | - 3x - 10||3x + 10| = | - 3x - 10|?