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

The solutions to the equation completesquare 2x^2+12x are 2(x+3)^2-18

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

The zeros of completesquare 2x^2+12x are 2(x+3)^2-18

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complete the square

2 x^{2} + 12 x

2 (x + 3)^{2} - 18

Solution steps

2 x^{2} + 12 x

Write

2 x^{2} + 12 x

in the form:

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

Factor out

2

2 (x^{2} + 6 x)

2 a = 6 : a = 3

Add and subtract

3^{2}

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

Simplify

2 (x + 3)^{2} - 18

(x + 1) (x - 6) = 0

3 x (x - 2) = - 7 x + 1

6 x^{2} - 2 x - 5 = 0

- 3 x - 9 + 5 x^{2} = 3 x

y = 3 y^{2}

What are the solutions to the equation completesquare 2x^2+12x ?
The solutions to the equation completesquare 2x^2+12x are 2(x+3)^2-18
Find the zeros of completesquare 2x^2+12x
The zeros of completesquare 2x^2+12x are 2(x+3)^2-18