3t/8(2t-6)=2+14t

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Solution for 3t/8(2t-6)=2+14t equation: 


t in (-oo:+oo)

((3*t)/8)*(2*t-6) = 14*t+2 // - 14*t+2

((3*t)/8)*(2*t-6)-(14*t)-2 = 0

((3*t)/8)*(2*t-6)-14*t-2 = 0

3/8*t*(2*t-6)-14*t-2 = 0

3/8*t*(2*t-6)-14*t-2 = 0

3/4*t^2-65/4*t-2 = 0

3/4*t^2-65/4*t-2 = 0

3/4*t^2-65/4*t-2 = 0

DELTA = (-65/4)^2-(-2*3/4*4)

DELTA = 4321/16

DELTA > 0

t = ((4321/16)^(1/2)+65/4)/(3/4*2) or t = (65/4-(4321/16)^(1/2))/(3/4*2)

t = 2/3*((4321/16)^(1/2)+65/4) or t = 2/3*(65/4-(4321/16)^(1/2))

(t-2/3*(65/4-(4321/16)^(1/2)))*(t-2/3*((4321/16)^(1/2)+65/4)) = 0

(t-2/3*(65/4-(4321/16)^(1/2)))*(t-2/3*((4321/16)^(1/2)+65/4)) = 0

( t-2/3*((4321/16)^(1/2)+65/4) )

t-2/3*((4321/16)^(1/2)+65/4) = 0 // + -2/3*((4321/16)^(1/2)+65/4)

t = -(-2/3*((4321/16)^(1/2)+65/4))

t = 2/3*((4321/16)^(1/2)+65/4)

( t-2/3*(65/4-(4321/16)^(1/2)) )

t-2/3*(65/4-(4321/16)^(1/2)) = 0 // + -2/3*(65/4-(4321/16)^(1/2))

t = -(-2/3*(65/4-(4321/16)^(1/2)))

t = 2/3*(65/4-(4321/16)^(1/2))

t in { 2/3*((4321/16)^(1/2)+65/4), 2/3*(65/4-(4321/16)^(1/2)) }

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