What are the solutions to the equation completesquare 3x^2+12x-4 ?

The solutions to the equation completesquare 3x^2+12x-4 are 3(x+2)^2-16

Find the zeros of completesquare 3x^2+12x-4

The zeros of completesquare 3x^2+12x-4 are 3(x+2)^2-16

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complete the square

3 x^{2} + 12 x - 4

3 (x + 2)^{2} - 16

Solution steps

3 x^{2} + 12 x - 4

Write

3 x^{2} + 12 x - 4

in the form:

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

Factor out

3

3 (x^{2} + 4 x - \frac{4}{3})

2 a = 4 : a = 2

Add and subtract

2^{2}

3 (x^{2} + 4 x - \frac{4}{3} + 2^{2} - 2^{2})

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

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

3 ((x + 2)^{2} - \frac{4}{3} - 2^{2})

Simplify

3 (x + 2)^{2} - 16

3 x^{2} + 12 x = 63

\frac{5 x - 3}{3} + \frac{23 x + 25 x ^{2}}{15} = \frac{1 - 5 x ^{2} + 5 x}{5}

2 x^{2} - 12 x - 182 = 0

(3 x - 5)^{2} - (2 x + 1)^{2} = 24

x, f = a (x - h)^{2} + k

What are the solutions to the equation completesquare 3x^2+12x-4 ?
The solutions to the equation completesquare 3x^2+12x-4 are 3(x+2)^2-16
Find the zeros of completesquare 3x^2+12x-4
The zeros of completesquare 3x^2+12x-4 are 3(x+2)^2-16