How do you solve $-10abs(v+2)=-70$ ?

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Answer 1 · 2015-04-03T22:04:57

$v = 5$ and $v = -9$

Solution:

$-10|v + 2| = -70$

$=> |v + 2| =7$

Squaring both sides we have,

$(v + 2)^2 =7^2$

$(v + 2)^2 - 7^2 = 0$

$=> (v + 2 -7)(v + 2 + 7) = 0$

$=> v + 2 - 7 = 0 => v = 5$

$v + 2 + 7 = 0 => v = -9$

How do you solve -10abs(v+2)=-70-10abs(v+2)=-70?