6x2/60x=7

Solution for 6x2/60x=7 equation:

6x^2/60x=7

We move all terms to the left:

6x^2/60x-(7)=0


Domain of the equation: 60x!=0

x!=0/60

x!=0

x∈R


We multiply all the terms by the denominator


6x^2-7*60x=0

Wy multiply elements

6x^2-420x=0

a = 6; b = -420; c = 0;
Δ = b2-4ac
Δ = -4202-4·6·0
Δ = 176400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{176400}=420$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-420)-420}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-420)+420}{2*6}=\frac{840}{12}
=70
$