5x^2-3(1-x)-2X(x+5)=0

Solution for 5x^2-3(1-x)-2X(x+5)=0 equation:

5x^2-3(1-x)-2x(x+5)=0

We add all the numbers together, and all the variables

5x^2-3(-1x+1)-2x(x+5)=0

We multiply parentheses

5x^2-2x^2+3x-10x-3=0

We add all the numbers together, and all the variables

3x^2-7x-3=0

a = 3; b = -7; c = -3;
Δ = b2-4ac
Δ = -72-4·3·(-3)
Δ = 85
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{-(-7)-\sqrt{85}}{2*3}=\frac{7-\sqrt{85}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{85}}{2*3}=\frac{7+\sqrt{85}}{6}
$