a(8a+7)=

Solution for a(8a+7)= equation:

a(8a+7)=

We move all terms to the left:

a(8a+7)-()=0

We add all the numbers together, and all the variables

a(8a+7)=0

We multiply parentheses

8a^2+7a=0

a = 8; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·8·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*8}=\frac{-14}{16}
=-7/8
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*8}=\frac{0}{16}
=0
$