56=x(6x+11)

Solution for 56=x(6x+11) equation:

56=x(6x+11)

We move all terms to the left:

56-(x(6x+11))=0


We calculate terms in parentheses: -(x(6x+11)), so:

x(6x+11)

We multiply parentheses

6x^2+11x

Back to the equation:

-(6x^2+11x)


We get rid of parentheses

-6x^2-11x+56=0

a = -6; b = -11; c = +56;
Δ = b2-4ac
Δ = -112-4·(-6)·56
Δ = 1465
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{1465}}{2*-6}=\frac{11-\sqrt{1465}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{1465}}{2*-6}=\frac{11+\sqrt{1465}}{-12}
$