x+(x2+10)+2(x2+10)=765

Solution for x+(x2+10)+2(x2+10)=765 equation:

x+(x2+10)+2(x2+10)=765

We move all terms to the left:

x+(x2+10)+2(x2+10)-(765)=0

We add all the numbers together, and all the variables

(+x^2+10)+2(+x^2+10)+x-765=0

We multiply parentheses

(+x^2+10)+2x^2+x+20-765=0

We get rid of parentheses

x^2+2x^2+x+10+20-765=0

We add all the numbers together, and all the variables

3x^2+x-735=0

a = 3; b = 1; c = -735;
Δ = b2-4ac
Δ = 12-4·3·(-735)
Δ = 8821
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{-(1)-\sqrt{8821}}{2*3}=\frac{-1-\sqrt{8821}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{8821}}{2*3}=\frac{-1+\sqrt{8821}}{6}
$