1120=x(x-3)

Solution for 1120=x(x-3) equation:

1120=x(x-3)

We move all terms to the left:

1120-(x(x-3))=0


We calculate terms in parentheses: -(x(x-3)), so:

x(x-3)

We multiply parentheses

x^2-3x

Back to the equation:

-(x^2-3x)


We get rid of parentheses

-x^2+3x+1120=0

We add all the numbers together, and all the variables

-1x^2+3x+1120=0

a = -1; b = 3; c = +1120;
Δ = b2-4ac
Δ = 32-4·(-1)·1120
Δ = 4489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4489}=67$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-67}{2*-1}=\frac{-70}{-2}
=+35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+67}{2*-1}=\frac{64}{-2}
=-32
$