Y=(2x+144)(x-133)

Solution for Y=(2x+144)(x-133) equation:

=(2Y+144)(Y-133)

We move all terms to the left:

-((2Y+144)(Y-133))=0

We multiply parentheses ..

-((+2Y^2-266Y+144Y-19152))=0


We calculate terms in parentheses: -((+2Y^2-266Y+144Y-19152)), so:

(+2Y^2-266Y+144Y-19152)

We get rid of parentheses

2Y^2-266Y+144Y-19152

We add all the numbers together, and all the variables

2Y^2-122Y-19152

Back to the equation:

-(2Y^2-122Y-19152)


We get rid of parentheses

-2Y^2+122Y+19152=0

a = -2; b = 122; c = +19152;
Δ = b2-4ac
Δ = 1222-4·(-2)·19152
Δ = 168100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{168100}=410$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(122)-410}{2*-2}=\frac{-532}{-4}
=+133
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(122)+410}{2*-2}=\frac{288}{-4}
=-72
$