(a+10)*(a-10=)

Solution for (a+10)*(a-10=) equation:

(a+10)(a-10=)

We move all terms to the left:

(a+10)(a-10-())=0


We calculate terms in parentheses: +(a+10)(a-10-()), so:

a+10)(a-10-()

We add all the numbers together, and all the variables

a+10)(a

Back to the equation:

+(a+10)(a)


We multiply parentheses

a^2+10a=0

a = 1; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·1·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*1}=\frac{-20}{2}
=-10
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*1}=\frac{0}{2}
=0
$