What are the solutions to the equation completesquare-5x^2-40x-86 ?

The solutions to the equation completesquare-5x^2-40x-86 are -5(x+4)^2-6

Find the zeros of completesquare-5x^2-40x-86

The zeros of completesquare-5x^2-40x-86 are -5(x+4)^2-6

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complete the square

- 5 x^{2} - 40 x - 86

- 5 (x + 4)^{2} - 6

Solution steps

- 5 x^{2} - 40 x - 86

Write

- 5 x^{2} - 40 x - 86

in the form:

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

Factor out

- 5

- 5 (x^{2} + 8 x + \frac{86}{5})

2 a = 8 : a = 4

Add and subtract

4^{2}

- 5 (x^{2} + 8 x + \frac{86}{5} + 4^{2} - 4^{2})

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

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

- 5 ((x + 4)^{2} + \frac{86}{5} - 4^{2})

Simplify

- 5 (x + 4)^{2} - 6

- 3 x^{2} - 2 x = - 10

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

3 q^{2} - 18 q + 24 = 0

0 = 1 - 0^{2} - z^{2}

5 x^{2} - 7 x = - 4 + 3 x^{2}

What are the solutions to the equation completesquare-5x^2-40x-86 ?
The solutions to the equation completesquare-5x^2-40x-86 are -5(x+4)^2-6
Find the zeros of completesquare-5x^2-40x-86
The zeros of completesquare-5x^2-40x-86 are -5(x+4)^2-6