2x(x+1)(14)=15(2x)

Solution for 2x(x+1)(14)=15(2x) equation:

2x(x+1)(14)=15(2x)

We move all terms to the left:

2x(x+1)(14)-(15(2x))=0

determiningTheFunctionDomain
2x(x+1)14-152x=0

We add all the numbers together, and all the variables

-152x+2x(x+1)14=0

We multiply parentheses

28x^2-152x+28x=0

We add all the numbers together, and all the variables

28x^2-124x=0

a = 28; b = -124; c = 0;
Δ = b2-4ac
Δ = -1242-4·28·0
Δ = 15376
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15376}=124$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-124)-124}{2*28}=\frac{0}{56}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-124)+124}{2*28}=\frac{248}{56}
=4+3/7
$