solve for x
5/2x+3=4/3-3,x not equal to o,-3/2
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Answer:
)−3=
2x+3
5
\frac{4-3x}{x}=\frac{5}{2x+3}
x
4−3x
=
2x+3
5
Cross multiply,
(4-3x)(2x+3)=5x(4−3x)(2x+3)=5x
8x+12-6x^2-9x=5x8x+12−6x
2
−9x=5x
6x^2+6x-12=06x
2
+6x−12=0
x^2+x-2=0x
2
+x−2=0
Apply middle term split,
x^2+2x-x-2=0x
2
+2x−x−2=0
x(x+2)-1(x+2)=0x(x+2)−1(x+2)=0
(x+2)(x-1)=0(x+2)(x−1)=0
x=-2,1x=−2,1
Therefore, The solution of the expression is x=-2 and x
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