30x=60(x2)

Solution for 30x=60(x2) equation:

30x=60(x2)

We move all terms to the left:

30x-(60(x2))=0

determiningTheFunctionDomain
30x-60x2=0

We add all the numbers together, and all the variables

-60x^2+30x=0

a = -60; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-60)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-60}=\frac{-60}{-120}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-60}=\frac{0}{-120}
=0
$