Answer: x = -3/2 , x = -1 1/2 , x = -1.5
Step-by-step explanation:
6/-4.5 = 8/4x
first determine the defined range --> x ≠ 0
cancel out the common factor 4 --> 6/-4.5 = 2/x
the convert the decimal into a fraction --> 6/-9/2 = 2/x
now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x
then simplify the complex fraction --> -4/3 = 2/x
simplify the equation using cross-multiplication --> -4x=6
divide both side of the equation by -4 --> x = -3/2 , x ≠ 0
lastly, check if the solution is in the defined range --> x = -3/2
solution : x = -3/2
Alternative form: x = -1 1/2 , x = -1.5 (simplified)