Respuesta :
The solution to the absolute value equation –0.4|x + 5.75| – 4.3 = –8.7 is
x = -16.75 or x = 5.25
The given absolute value equation is:
–0.4|x + 5.75| – 4.3 = –8.7
Collect like terms
–0.4|x + 5.75| = –8.7 + 4.3
–0.4|x + 5.75| = -4.4
Divide both sides by -0.4
|x + 5.75| = -4.4 / -0.4
|x + 5.75| = 11
x + 5.75 = 11
x = 11 - 5.75
x = 5.25
x + 5.75 = -11
x = -11 - 5.75
x = -16.75
The solution to the absolute value equation –0.4|x + 5.75| – 4.3 = –8.7 is
x = -16.75 or x = 5.25
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