X2+x+8+2x=43

Solution for X2+x+8+2x=43 equation:

X2+X+8+2X=43

We move all terms to the left:

X2+X+8+2X-(43)=0

We add all the numbers together, and all the variables

X^2+3X-35=0

a = 1; b = 3; c = -35;
Δ = b2-4ac
Δ = 32-4·1·(-35)
Δ = 149
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{-(3)-\sqrt{149}}{2*1}=\frac{-3-\sqrt{149}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{149}}{2*1}=\frac{-3+\sqrt{149}}{2}
$