10x-15x2=

Solution for 10x-15x2= equation:

10x-15x^2=

We move all terms to the left:

10x-15x^2-()=0

We add all the numbers together, and all the variables

-15x^2+10x=0

a = -15; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-15)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-15}=\frac{-20}{-30}
=2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-15}=\frac{0}{-30}
=0
$