What are the solutions to the equation completesquare 2x^2+12x+6 ?

The solutions to the equation completesquare 2x^2+12x+6 are 2(x+3)^2-12

Find the zeros of completesquare 2x^2+12x+6

The zeros of completesquare 2x^2+12x+6 are 2(x+3)^2-12

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complete the square

2 x^{2} + 12 x + 6

2 (x + 3)^{2} - 12

Solution steps

2 x^{2} + 12 x + 6

Write

2 x^{2} + 12 x + 6

in the form:

x^{2} + 2 a x + a^{2}

Factor out

2

2 (x^{2} + 6 x + 3)

2 a = 6 : a = 3

Add and subtract

3^{2}

2 (x^{2} + 6 x + 3 + 3^{2} - 3^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

2 ((x + 3)^{2} + 3 - 3^{2})

Simplify

2 (x + 3)^{2} - 12

x, x^{2} + 20 x + 900 I (x) = 180 x

x^{2} - 12 + 5 = 0

y, x^{3} + x y - 5 y^{2} = 10

- x^{2} - 7 x + 8 = 0

7 x (x - 5) = 3 (x + 1)

What are the solutions to the equation completesquare 2x^2+12x+6 ?
The solutions to the equation completesquare 2x^2+12x+6 are 2(x+3)^2-12
Find the zeros of completesquare 2x^2+12x+6
The zeros of completesquare 2x^2+12x+6 are 2(x+3)^2-12