(3/80)*x+325=1000-0,3x

Solution for (3/80)*x+325=1000-0,3x equation:

(3/80)*x+325=1000-0.3x

We move all terms to the left:

(3/80)*x+325-(1000-0.3x)=0


Domain of the equation: 80)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/80)*x-(-0.3x+1000)+325=0

We multiply parentheses

3x^2-(-0.3x+1000)+325=0

We get rid of parentheses

3x^2+0.3x-1000+325=0

We add all the numbers together, and all the variables

3x^2+0.3x-675=0

a = 3; b = 0.3; c = -675;
Δ = b2-4ac
Δ = 0.32-4·3·(-675)
Δ = 8100.09
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{-(0.3)-\sqrt{8100.09}}{2*3}=\frac{-0.3-\sqrt{8100.09}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.3)+\sqrt{8100.09}}{2*3}=\frac{-0.3+\sqrt{8100.09}}{6}
$