4t^2/5=7t/5+39/10

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Solution for 4t^2/5=7t/5+39/10 equation: 


t in (-oo:+oo)

(4*t^2)/5 = (7*t)/5+39/10 // - (7*t)/5+39/10

(4*t^2)/5-((7*t)/5)-(39/10) = 0

(4*t^2)/5+(-7/5)*t-39/10 = 0

4/5*t^2-7/5*t-39/10 = 0

DELTA = (-7/5)^2-(-39/10*4/5*4)

DELTA = 361/25

DELTA > 0

t = ((361/25)^(1/2)+7/5)/(4/5*2) or t = (7/5-(361/25)^(1/2))/(4/5*2)

t = 13/4 or t = -3/2

t in { -3/2, 13/4 }

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