(0.75-x)*x=0.1

Solution for (0.75-x)*x=0.1 equation:

(0.75-x)*x=0.1

We move all terms to the left:

(0.75-x)*x-(0.1)=0

We add all the numbers together, and all the variables

(-1x+0.75)*x-(0.1)=0

We add all the numbers together, and all the variables

(-1x+0.75)*x-0.1=0

We multiply parentheses

-1x^2+0.75x-0.1=0

a = -1; b = 0.75; c = -0.1;
Δ = b2-4ac
Δ = 0.752-4·(-1)·(-0.1)
Δ = 0.1625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.75)-\sqrt{0.1625}}{2*-1}=\frac{-0.75-\sqrt{0.1625}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.75)+\sqrt{0.1625}}{2*-1}=\frac{-0.75+\sqrt{0.1625}}{-2}
$