(8x-3)/(6x+9)=(-2/3)

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Solution for (8x-3)/(6x+9)=(-2/3) equation:


D( x )

6*x+9 = 0

6*x+9 = 0

6*x+9 = 0

6*x+9 = 0 // - 9

6*x = -9 // : 6

x = -9/6

x = -3/2

x in (-oo:-3/2) U (-3/2:+oo)

(8*x-3)/(6*x+9) = -2/3 // + -2/3

(8*x-3)/(6*x+9)-(-2/3) = 0

(8*x-3)/(6*x+9)+2/3 = 0

(3*(8*x-3))/(3*(6*x+9))+(2*(6*x+9))/(3*(6*x+9)) = 0

3*(8*x-3)+2*(6*x+9) = 0

36*x+9 = 0

(36*x+9)/(3*(6*x+9)) = 0

(36*x+9)/(3*(6*x+9)) = 0 // * 3*(6*x+9)

36*x+9 = 0

36*x+9 = 0 // - 9

36*x = -9 // : 36

x = -9/36

x = -1/4

x = -1/4

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