What are the solutions to the equation completesquare 2x^2+16x ?

The solutions to the equation completesquare 2x^2+16x are 2(x+4)^2-32

Find the zeros of completesquare 2x^2+16x

The zeros of completesquare 2x^2+16x are 2(x+4)^2-32

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complete the square

2 x^{2} + 16 x

2 (x + 4)^{2} - 32

Solution steps

2 x^{2} + 16 x

Write

2 x^{2} + 16 x

in the form:

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

Factor out

2

2 (x^{2} + 8 x)

2 a = 8 : a = 4

Add and subtract

4^{2}

2 (x^{2} + 8 x + 4^{2} - 4^{2})

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

2 ((x + 4)^{2} - 4^{2})

Simplify

2 (x + 4)^{2} - 32

2 x^{2} + 42 x - 1080 = 0

2 x^{2} + 12 x

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

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

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

What are the solutions to the equation completesquare 2x^2+16x ?
The solutions to the equation completesquare 2x^2+16x are 2(x+4)^2-32
Find the zeros of completesquare 2x^2+16x
The zeros of completesquare 2x^2+16x are 2(x+4)^2-32