X+155=2x(x-1.55)

Solution for X+155=2x(x-1.55) equation:

X+155=2X(X-1.55)

We move all terms to the left:

X+155-(2X(X-1.55))=0


We calculate terms in parentheses: -(2X(X-1.55)), so:

2X(X-1.55)

We multiply parentheses

2X^2-3.1X

Back to the equation:

-(2X^2-3.1X)


We get rid of parentheses

-2X^2+X+3.1X+155=0

We add all the numbers together, and all the variables

-2X^2+4.1X+155=0

a = -2; b = 4.1; c = +155;
Δ = b2-4ac
Δ = 4.12-4·(-2)·155
Δ = 1256.81
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{-(4.1)-\sqrt{1256.81}}{2*-2}=\frac{-4.1-\sqrt{1256.81}}{-4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.1)+\sqrt{1256.81}}{2*-2}=\frac{-4.1+\sqrt{1256.81}}{-4}
$