12.88t^2+5t=25

Solution for 12.88t^2+5t=25 equation:

12.88t^2+5t=25

We move all terms to the left:

12.88t^2+5t-(25)=0

a = 12.88; b = 5; c = -25;
Δ = b2-4ac
Δ = 52-4·12.88·(-25)
Δ = 1313
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{1313}}{2*12.88}=\frac{-5-\sqrt{1313}}{25.76}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{1313}}{2*12.88}=\frac{-5+\sqrt{1313}}{25.76}
$