12x^2+26x=10x

Solution for 12x^2+26x=10x equation:

12x^2+26x=10x

We move all terms to the left:

12x^2+26x-(10x)=0

We add all the numbers together, and all the variables

12x^2+16x=0

a = 12; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·12·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*12}=\frac{-32}{24}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*12}=\frac{0}{24}
=0
$