1t*6t=8t-9t

Solution for 1t*6t=8t-9t equation:

1t*6t=8t-9t

We move all terms to the left:

1t*6t-(8t-9t)=0

We add all the numbers together, and all the variables

1t*6t-(-1t)=0

Wy multiply elements

6t^2-(-1t)=0

We get rid of parentheses

6t^2+1t=0

We add all the numbers together, and all the variables

6t^2+t=0

a = 6; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·6·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*6}=\frac{-2}{12}
=-1/6
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*6}=\frac{0}{12}
=0
$