What are the solutions to the equation completesquare 4x^2-16x ?

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

Find the zeros of completesquare 4x^2-16x

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

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complete the square

4 x^{2} - 16 x

4 (x - 2)^{2} - 16

Solution steps

4 x^{2} - 16 x

Write

4 x^{2} - 16 x

in the form:

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

Factor out

4

4 (x^{2} - 4 x)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

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

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

Simplify

4 (x - 2)^{2} - 16

0 = 3 x^{2} - 8 x - 16

7 x (x - 2) = 3 - 2 (x + 4)

2 x^{2} - 8 x = - 2

x^{2} - x + 6 = 3

12 x^{2} - 120 x + 216 = 0

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