16=x(2x+14)

Solution for 16=x(2x+14) equation:

16=x(2x+14)

We move all terms to the left:

16-(x(2x+14))=0


We calculate terms in parentheses: -(x(2x+14)), so:

x(2x+14)

We multiply parentheses

2x^2+14x

Back to the equation:

-(2x^2+14x)


We get rid of parentheses

-2x^2-14x+16=0

a = -2; b = -14; c = +16;
Δ = b2-4ac
Δ = -142-4·(-2)·16
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-18}{2*-2}=\frac{-4}{-4}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+18}{2*-2}=\frac{32}{-4}
=-8
$