180=(14x+70)(20x+8)

Solution for 180=(14x+70)(20x+8) equation:

180=(14x+70)(20x+8)

We move all terms to the left:

180-((14x+70)(20x+8))=0

We multiply parentheses ..

-((+280x^2+112x+1400x+560))+180=0


We calculate terms in parentheses: -((+280x^2+112x+1400x+560)), so:

(+280x^2+112x+1400x+560)

We get rid of parentheses

280x^2+112x+1400x+560

We add all the numbers together, and all the variables

280x^2+1512x+560

Back to the equation:

-(280x^2+1512x+560)


We get rid of parentheses

-280x^2-1512x-560+180=0

We add all the numbers together, and all the variables

-280x^2-1512x-380=0

a = -280; b = -1512; c = -380;
Δ = b2-4ac
Δ = -15122-4·(-280)·(-380)
Δ = 1860544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1860544}=\sqrt{64*29071}=\sqrt{64}*\sqrt{29071}=8\sqrt{29071}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1512)-8\sqrt{29071}}{2*-280}=\frac{1512-8\sqrt{29071}}{-560}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1512)+8\sqrt{29071}}{2*-280}=\frac{1512+8\sqrt{29071}}{-560}
$