X+2(x-2)3x=35

Solution for X+2(x-2)3x=35 equation:

X+2(X-2)3X=35

We move all terms to the left:

X+2(X-2)3X-(35)=0

We multiply parentheses

6X^2+X-12X-35=0

We add all the numbers together, and all the variables

6X^2-11X-35=0

a = 6; b = -11; c = -35;
Δ = b2-4ac
Δ = -112-4·6·(-35)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-31}{2*6}=\frac{-20}{12}
=-1+2/3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+31}{2*6}=\frac{42}{12}
=3+1/2
$