134=2x(2x+2)

Solution for 134=2x(2x+2) equation:

134=2x(2x+2)

We move all terms to the left:

134-(2x(2x+2))=0


We calculate terms in parentheses: -(2x(2x+2)), so:

2x(2x+2)

We multiply parentheses

4x^2+4x

Back to the equation:

-(4x^2+4x)


We get rid of parentheses

-4x^2-4x+134=0

a = -4; b = -4; c = +134;
Δ = b2-4ac
Δ = -42-4·(-4)·134
Δ = 2160
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:

$\sqrt{\Delta}=\sqrt{2160}=\sqrt{144*15}=\sqrt{144}*\sqrt{15}=12\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-12\sqrt{15}}{2*-4}=\frac{4-12\sqrt{15}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+12\sqrt{15}}{2*-4}=\frac{4+12\sqrt{15}}{-8}
$