7t=56t^2

Solution for 7t=56t^2 equation:

7t=56t^2

We move all terms to the left:

7t-(56t^2)=0

determiningTheFunctionDomain
-56t^2+7t=0

a = -56; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-56)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-56}=\frac{-14}{-112}
=1/8
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-56}=\frac{0}{-112}
=0
$