What are the solutions to the equation completesquare 4x^2+32x ?

The solutions to the equation completesquare 4x^2+32x are 4(x+4)^2-64

Find the zeros of completesquare 4x^2+32x

The zeros of completesquare 4x^2+32x are 4(x+4)^2-64

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complete the square

4 x^{2} + 32 x

4 (x + 4)^{2} - 64

Solution steps

4 x^{2} + 32 x

Write

4 x^{2} + 32 x

in the form:

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

Factor out

4

4 (x^{2} + 8 x)

2 a = 8 : a = 4

Add and subtract

4^{2}

4 (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}

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

Simplify

4 (x + 4)^{2} - 64

4 x^{2} = 9 x + 28

x^{2} + 3 x + 8 = 0

6 x^{(2)} + 5 = 17 x

a, a^{2} b + c = 24

3 v^{2} - 18 v - 12 = 2

What are the solutions to the equation completesquare 4x^2+32x ?
The solutions to the equation completesquare 4x^2+32x are 4(x+4)^2-64
Find the zeros of completesquare 4x^2+32x
The zeros of completesquare 4x^2+32x are 4(x+4)^2-64