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

The solutions to the equation completesquare 6x^2+12x are 6(x+1)^2-6

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

The zeros of completesquare 6x^2+12x are 6(x+1)^2-6

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complete the square

6 x^{2} + 12 x

6 (x + 1)^{2} - 6

Solution steps

6 x^{2} + 12 x

Write

6 x^{2} + 12 x

in the form:

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

Factor out

6

6 (x^{2} + 2 x)

2 a = 2 : a = 1

Add and subtract

1^{2}

6 (x^{2} + 2 x + 1^{2} - 1^{2})

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

6 ((x + 1)^{2} - 1^{2})

Simplify

6 (x + 1)^{2} - 6

x^{2} = 2. 5^{2} + 10. 9^{2}

4 x^{2} - 12 x + 9 = 16

97 = 215 x - 16 x^{2}

- 16 x^{2} + 112 x + 128 = 0

n = t^{2} - 12

What are the solutions to the equation completesquare 6x^2+12x ?
The solutions to the equation completesquare 6x^2+12x are 6(x+1)^2-6
Find the zeros of completesquare 6x^2+12x
The zeros of completesquare 6x^2+12x are 6(x+1)^2-6