(x+3)(x+3)=225

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Solution for (x+3)(x+3)=225 equation:



(x+3)(x+3)=225
We move all terms to the left:
(x+3)(x+3)-(225)=0
We multiply parentheses ..
(+x^2+3x+3x+9)-225=0
We get rid of parentheses
x^2+3x+3x+9-225=0
We add all the numbers together, and all the variables
x^2+6x-216=0
a = 1; b = 6; c = -216;
Δ = b2-4ac
Δ = 62-4·1·(-216)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-30}{2*1}=\frac{-36}{2} =-18 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+30}{2*1}=\frac{24}{2} =12 $

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