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marusya05 [52]
4 years ago
12

Solve the equation. 4)x+ 5|- 6 = 6

Mathematics
1 answer:
Ilya [14]4 years ago
8 0

Answer:

x = -2, x = -8

Step-by-step explanation:

I'm guessing the equation is 4|x+5| - 6 = 6. When there's an absolute value sign in the equation, we have two possible outcomes as |x| can be equal to x or -x. Thus, we have two values of x for which the equation will be true. Let's first split the equation into two:

4(x+5)-6=6

4(-x-5)-6=6

Now, solve both; first equation:

4x+20-6=6

4x+14=6

4x=-8

x=-2

Second one:

-4x-20-6=6

-4x=32

x = -8

Thus, 4|x+5| - 6 = 6 has two real solutions: {x: x = -2, -8}

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