0=5(7-x)12x

Solution for 0=5(7-x)12x equation:

0=5(7-x)12x

We move all terms to the left:

0-(5(7-x)12x)=0

We add all the numbers together, and all the variables

-(5(-1x+7)12x)+0=0

We add all the numbers together, and all the variables

-(5(-1x+7)12x)=0


We calculate terms in parentheses: -(5(-1x+7)12x), so:

5(-1x+7)12x

We multiply parentheses

-60x^2+420x

Back to the equation:

-(-60x^2+420x)


We get rid of parentheses

60x^2-420x=0

a = 60; b = -420; c = 0;
Δ = b2-4ac
Δ = -4202-4·60·0
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*60}=\frac{0}{120}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-420)+420}{2*60}=\frac{840}{120}
=7
$