2n^2+12n+10=0 complete the square

Simplify the equation into a proper form to complete the square.
2n^2+12n=−10

Divide each term in the equation by 2.
n^2+6n=−5

To create a trinomial square on the left-hand side of the equation, find a value that is equal to the square of half of b, the coefficient of n.
(b/2)^2=(3)^2

Add the term to each side of the equation.
n^2+6n+(3)^2=−5+(3)^2

Simplify the equation.
n^2+6n+9=4

Factor the perfect trinomial square into (n+3)^2.
(n+3)^2=4

Solve the equation for n.

n=−1,−5

2n² + 12n + 10 = 0
n = -12 +/- √(12² - 4(2)(10))
                     2(2)
n = -12 +/- √(144 - 80)
                   4
n = -12 +/- √64
               4
n = -12 +/- 8
             4
n = -12 + 8    n = -12 - 8
            4                   4
n = -4            n = -20
       4                     4
n = -1            n = -5

38 dollars is your answer.

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