12-x(x-5)=-140

Solution for 12-x(x-5)=-140 equation:

12-x(x-5)=-140

We move all terms to the left:

12-x(x-5)-(-140)=0

We add all the numbers together, and all the variables

-x(x-5)+152=0

We multiply parentheses

-x^2+5x+152=0

We add all the numbers together, and all the variables

-1x^2+5x+152=0

a = -1; b = 5; c = +152;
Δ = b2-4ac
Δ = 52-4·(-1)·152
Δ = 633
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)-\sqrt{633}}{2*-1}=\frac{-5-\sqrt{633}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{633}}{2*-1}=\frac{-5+\sqrt{633}}{-2}
$