x(-x+3)=1.4375

Solution for x(-x+3)=1.4375 equation:

x(-x+3)=1.4375

We move all terms to the left:

x(-x+3)-(1.4375)=0

We add all the numbers together, and all the variables

x(-1x+3)-(1.4375)=0

We add all the numbers together, and all the variables

x(-1x+3)-1.4375=0

We multiply parentheses

-1x^2+3x-1.4375=0

a = -1; b = 3; c = -1.4375;
Δ = b2-4ac
Δ = 32-4·(-1)·(-1.4375)
Δ = 3.25
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{-(3)-\sqrt{3.25}}{2*-1}=\frac{-3-\sqrt{3.25}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{3.25}}{2*-1}=\frac{-3+\sqrt{3.25}}{-2}
$