24.5x=4.9x^2

Solution for 24.5x=4.9x^2 equation:

24.5x=4.9x^2

We move all terms to the left:

24.5x-(4.9x^2)=0

We get rid of parentheses

-4.9x^2+24.5x=0

a = -4.9; b = 24.5; c = 0;
Δ = b2-4ac
Δ = 24.52-4·(-4.9)·0
Δ = 600.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24.5)-\sqrt{600.25}}{2*-4.9}=\frac{-24.5-\sqrt{600.25}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24.5)+\sqrt{600.25}}{2*-4.9}=\frac{-24.5+\sqrt{600.25}}{-9.8}
$