168=(3x+3)*x

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Solution for 168=(3x+3)*x equation:



168=(3x+3)*x
We move all terms to the left:
168-((3x+3)*x)=0
We calculate terms in parentheses: -((3x+3)*x), so:
(3x+3)*x
We multiply parentheses
3x^2+3x
Back to the equation:
-(3x^2+3x)
We get rid of parentheses
-3x^2-3x+168=0
a = -3; b = -3; c = +168;
Δ = b2-4ac
Δ = -32-4·(-3)·168
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-45}{2*-3}=\frac{-42}{-6} =+7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+45}{2*-3}=\frac{48}{-6} =-8 $

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