What are the solutions to the equation completesquare 3x^2+18x-6 ?

The solutions to the equation completesquare 3x^2+18x-6 are 3(x+3)^2-33

Find the zeros of completesquare 3x^2+18x-6

The zeros of completesquare 3x^2+18x-6 are 3(x+3)^2-33

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complete the square

3 x^{2} + 18 x - 6

3 (x + 3)^{2} - 33

Solution steps

3 x^{2} + 18 x - 6

Write

3 x^{2} + 18 x - 6

in the form:

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

Factor out

3

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

2 a = 6 : a = 3

Add and subtract

3^{2}

3 (x^{2} + 6 x - 2 + 3^{2} - 3^{2})

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

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

Simplify

3 (x + 3)^{2} - 33

(x - 1)^{2} = (4 x - 7)^{2} + (3 x)^{2}

2 (x + 3)^{2} = 90

t + t^{2} = 0

\frac{x ^{2}}{3} = 3 x

4 x (x + 7) + 48 = 0

What are the solutions to the equation completesquare 3x^2+18x-6 ?
The solutions to the equation completesquare 3x^2+18x-6 are 3(x+3)^2-33
Find the zeros of completesquare 3x^2+18x-6
The zeros of completesquare 3x^2+18x-6 are 3(x+3)^2-33