2.5(x)=x2-3x

Solution for 2.5(x)=x2-3x equation:

2.5(x)=x2-3x

We move all terms to the left:

2.5(x)-(x2-3x)=0

We add all the numbers together, and all the variables

-(+x^2-3x)+2.5x=0

We get rid of parentheses

-x^2+3x+2.5x=0

We add all the numbers together, and all the variables

-1x^2+5.5x=0

a = -1; b = 5.5; c = 0;
Δ = b2-4ac
Δ = 5.52-4·(-1)·0
Δ = 30.25
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{-(5.5)-\sqrt{30.25}}{2*-1}=\frac{-5.5-\sqrt{30.25}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.5)+\sqrt{30.25}}{2*-1}=\frac{-5.5+\sqrt{30.25}}{-2}
$