((6t+5)/(9t-4))=(2t+5)/(3t-4)

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Solution for ((6t+5)/(9t-4))=(2t+5)/(3t-4) equation:


D( t )

9*t-4 = 0

3*t-4 = 0

9*t-4 = 0

9*t-4 = 0

9*t-4 = 0 // + 4

9*t = 4 // : 9

t = 4/9

3*t-4 = 0

3*t-4 = 0

3*t-4 = 0 // + 4

3*t = 4 // : 3

t = 4/3

t in (-oo:4/9) U (4/9:4/3) U (4/3:+oo)

(6*t+5)/(9*t-4) = (2*t+5)/(3*t-4) // - (2*t+5)/(3*t-4)

(6*t+5)/(9*t-4)-((2*t+5)/(3*t-4)) = 0

(6*t+5)/(9*t-4)+(-1*(2*t+5))/(3*t-4) = 0

((6*t+5)*(3*t-4))/((9*t-4)*(3*t-4))+(-1*(2*t+5)*(9*t-4))/((9*t-4)*(3*t-4)) = 0

(6*t+5)*(3*t-4)-1*(2*t+5)*(9*t-4) = 0

-46*t = 0

(-46*t)/((9*t-4)*(3*t-4)) = 0

(-46*t)/((9*t-4)*(3*t-4)) = 0 // * (9*t-4)*(3*t-4)

-46*t = 0

-46*t = 0 // : -46

t = 0

t = 0

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