96=6x(7x+18)

Solution for 96=6x(7x+18) equation:

96=6x(7x+18)

We move all terms to the left:

96-(6x(7x+18))=0


We calculate terms in parentheses: -(6x(7x+18)), so:

6x(7x+18)

We multiply parentheses

42x^2+108x

Back to the equation:

-(42x^2+108x)


We get rid of parentheses

-42x^2-108x+96=0

a = -42; b = -108; c = +96;
Δ = b2-4ac
Δ = -1082-4·(-42)·96
Δ = 27792
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:

$\sqrt{\Delta}=\sqrt{27792}=\sqrt{144*193}=\sqrt{144}*\sqrt{193}=12\sqrt{193}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-12\sqrt{193}}{2*-42}=\frac{108-12\sqrt{193}}{-84}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+12\sqrt{193}}{2*-42}=\frac{108+12\sqrt{193}}{-84}
$