0.2(x-6)(x+5)=0

Solution for 0.2(x-6)(x+5)=0 equation:

0.2(x-6)(x+5)=0

We multiply parentheses ..

0.2(+x^2+5x-6x-30)=0

We multiply parentheses

0.2x^2+x-1.2x-6=0

We add all the numbers together, and all the variables

0.2x^2-0.2x-6=0

a = 0.2; b = -0.2; c = -6;
Δ = b2-4ac
Δ = -0.22-4·0.2·(-6)
Δ = 4.84
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{-(-0.2)-\sqrt{4.84}}{2*0.2}=\frac{0.2-\sqrt{4.84}}{0.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.2)+\sqrt{4.84}}{2*0.2}=\frac{0.2+\sqrt{4.84}}{0.4}
$