30t=45(t-1/4)

Solution for 30t=45(t-1/4) equation:

30t=45(t-1/4)

We move all terms to the left:

30t-(45(t-1/4))=0

We add all the numbers together, and all the variables

30t-(45(+t-1/4))=0

We multiply all the terms by the denominator


30t*4))-(45(+t-1=0

We add all the numbers together, and all the variables

t+30t*4))-(45(-1=0

Wy multiply elements

120t^2+t-1=0

a = 120; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·120·(-1)
Δ = 481
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{-(1)-\sqrt{481}}{2*120}=\frac{-1-\sqrt{481}}{240}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{481}}{2*120}=\frac{-1+\sqrt{481}}{240}
$