0.05x-0.07x(10+X)=0

Solution for 0.05x-0.07x(10+X)=0 equation:

0.05x-0.07x(10+x)=0

We add all the numbers together, and all the variables

0.05x-0.07x(x+10)=0

We multiply parentheses

-0x^2+0.05x-0x=0

We add all the numbers together, and all the variables

-1x^2-0.95x=0

a = -1; b = -0.95; c = 0;
Δ = b2-4ac
Δ = -0.952-4·(-1)·0
Δ = 0.9025
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{-(-0.95)-\sqrt{0.9025}}{2*-1}=\frac{0.95-\sqrt{0.9025}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.95)+\sqrt{0.9025}}{2*-1}=\frac{0.95+\sqrt{0.9025}}{-2}
$