0=(x+10)(x-6)

Solution for 0=(x+10)(x-6) equation:

0=(x+10)(x-6)

We move all terms to the left:

0-((x+10)(x-6))=0

We add all the numbers together, and all the variables

-((x+10)(x-6))=0

We multiply parentheses ..

-((+x^2-6x+10x-60))=0


We calculate terms in parentheses: -((+x^2-6x+10x-60)), so:

(+x^2-6x+10x-60)

We get rid of parentheses

x^2-6x+10x-60

We add all the numbers together, and all the variables

x^2+4x-60

Back to the equation:

-(x^2+4x-60)


We get rid of parentheses

-x^2-4x+60=0

We add all the numbers together, and all the variables

-1x^2-4x+60=0

a = -1; b = -4; c = +60;
Δ = b2-4ac
Δ = -42-4·(-1)·60
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-16}{2*-1}=\frac{-12}{-2}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+16}{2*-1}=\frac{20}{-2}
=-10
$