a^2+(0,7*a)=0,32

Solution for a^2+(0,7*a)=0,32 equation:

a^2+(0.7a)=0.32

We move all terms to the left:

a^2+(0.7a)-(0.32)=0

We add all the numbers together, and all the variables

a^2+(+0.7a)-(0.32)=0

We add all the numbers together, and all the variables

a^2+(+0.7a)-0.32=0

We get rid of parentheses

a^2+0.7a-0.32=0

a = 1; b = 0.7; c = -0.32;
Δ = b2-4ac
Δ = 0.72-4·1·(-0.32)
Δ = 1.77
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.7)-\sqrt{1.77}}{2*1}=\frac{-0.7-\sqrt{1.77}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.7)+\sqrt{1.77}}{2*1}=\frac{-0.7+\sqrt{1.77}}{2}
$