-7x+6x=20x(^2)

Solution for -7x+6x=20x(^2) equation:

-7x+6x=20x(^2)

We move all terms to the left:

-7x+6x-(20x(^2))=0

determiningTheFunctionDomain
-7x+6x-20x^2=0

We add all the numbers together, and all the variables

-20x^2-7x+6x=0

We add all the numbers together, and all the variables

-20x^2-1x=0

a = -20; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-20)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-20}=\frac{0}{-40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-20}=\frac{2}{-40}
=-1/20
$