(2x+10)(x+1)2=84

Solution for (2x+10)(x+1)2=84 equation:

(2x+10)(x+1)2=84

We move all terms to the left:

(2x+10)(x+1)2-(84)=0

We multiply parentheses ..

(+2x^2+2x+10x+10)2-84=0

We multiply parentheses

4x^2+4x+20x+20-84=0

We add all the numbers together, and all the variables

4x^2+24x-64=0

a = 4; b = 24; c = -64;
Δ = b2-4ac
Δ = 242-4·4·(-64)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-40}{2*4}=\frac{-64}{8}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+40}{2*4}=\frac{16}{8}
=2
$