(x*3)*(x+3)=210

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Solution for (x*3)*(x+3)=210 equation:



(x*3)(x+3)=210
We move all terms to the left:
(x*3)(x+3)-(210)=0
We add all the numbers together, and all the variables
(+x*3)(x+3)-210=0
We multiply parentheses ..
(+3x^2+9x)-210=0
We get rid of parentheses
3x^2+9x-210=0
a = 3; b = 9; c = -210;
Δ = b2-4ac
Δ = 92-4·3·(-210)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-51}{2*3}=\frac{-60}{6} =-10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+51}{2*3}=\frac{42}{6} =7 $

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