6t=8(t-3/4)

Solution for 6t=8(t-3/4) equation:

6t=8(t-3/4)

We move all terms to the left:

6t-(8(t-3/4))=0

We add all the numbers together, and all the variables

6t-(8(+t-3/4))=0

We multiply all the terms by the denominator


6t*4))-(8(+t-3=0

We add all the numbers together, and all the variables

t+6t*4))-(8(-3=0

Wy multiply elements

24t^2+t-3=0

a = 24; b = 1; c = -3;
Δ = b2-4ac
Δ = 12-4·24·(-3)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-17}{2*24}=\frac{-18}{48}
=-3/8
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+17}{2*24}=\frac{16}{48}
=1/3
$