2x(x+3x)=40,50

Solution for 2x(x+3x)=40,50 equation:

2x(x+3x)=40.50

We move all terms to the left:

2x(x+3x)-(40.50)=0

We add all the numbers together, and all the variables

2x(+4x)-(40.5)=0

We add all the numbers together, and all the variables

2x(+4x)-40.5=0

We multiply parentheses

8x^2-40.5=0

a = 8; b = 0; c = -40.5;
Δ = b2-4ac
Δ = 02-4·8·(-40.5)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*8}=\frac{-36}{16}
=-2+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*8}=\frac{36}{16}
=2+1/4
$