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:
[tex]4(x+5)-6=6[/tex]
[tex]4(-x-5)-6=6[/tex]
Now, solve both; first equation:
[tex]4x+20-6=6[/tex]
[tex]4x+14=6[/tex]
[tex]4x=-8[/tex]
[tex]x=-2[/tex]
Second one:
[tex]-4x-20-6=6[/tex]
[tex]-4x=32[/tex]
[tex]x = -8[/tex]
Thus, 4|x+5| - 6 = 6 has two real solutions: {x: x = -2, -8}
