What is the solution to -4|-2x + 6| = -24?

Solution:

Given:

Equation is -4| -2 + 6 | = -24

For solving the mod,

We need to divide both sides by - 4 ,

(- 4|-2x + 6|) / - 4 = -24 / -4

⇒  |-2x + 6| = 6

Now for opening the mod we need to apply the absolute rule,

|u| = a , a > 0

Then u = a  and u = -a

Therefore,

⇒  -2x + 6 = 6 and -2x + 6 = -6

⇒  -2x = 0 and -2x = -12

⇒  x = 0 and x = 6

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What is the solution to -4|-2x + 6| = -24?

Summary:

The two solutions to the equation -4|-2 + 6| = -24 are x = 0 and x = 6.