x+2x+2x(2)=154

Solution for x+2x+2x(2)=154 equation:

x+2x+2x(2)=154

We move all terms to the left:

x+2x+2x(2)-(154)=0

We add all the numbers together, and all the variables

2x^2+3x-154=0

a = 2; b = 3; c = -154;
Δ = b2-4ac
Δ = 32-4·2·(-154)
Δ = 1241
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{1241}}{2*2}=\frac{-3-\sqrt{1241}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1241}}{2*2}=\frac{-3+\sqrt{1241}}{4}
$