# SOLUTION: 3(x+3)^2=54

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Question 499928: 3(x+3)^2=54
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The way you have written the equation the exponentiation (squaring) of (x+3) would not affect the constant multiplier 3. So, my assumption is that the equation is:

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Divide both sides by 3.
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(x+3)^2 = 54/3
(x+3)^2 = 18
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x+3 = sqrt(18)
x = sqrt(18) -3
x = 3*sqrt(2) -3
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Or we could expand the square and use factoring or quadratic equation for the solution.
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(x+3)^2 = 54
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x^2 +6x +9 = 54
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x^2 +6x -45 = 0
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 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=216 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 4.34846922834953, -10.3484692283495. Here's your graph: