X(x+16)/3=3x

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Solution for X(x+16)/3=3x equation:



X(X+16)/3=3X
We move all terms to the left:
X(X+16)/3-(3X)=0
We add all the numbers together, and all the variables
-3X+X(X+16)/3=0
We multiply all the terms by the denominator
-3X*3+X(X+16)=0
We multiply parentheses
X^2-3X*3+16X=0
Wy multiply elements
X^2-9X+16X=0
We add all the numbers together, and all the variables
X^2+7X=0
a = 1; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·1·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*1}=\frac{-14}{2} =-7 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*1}=\frac{0}{2} =0 $

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