What are the solutions to the equation completesquare 2x^2+28x+80 ?

The solutions to the equation completesquare 2x^2+28x+80 are 2(x+7)^2-18

Find the zeros of completesquare 2x^2+28x+80

The zeros of completesquare 2x^2+28x+80 are 2(x+7)^2-18

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complete the square

2 x^{2} + 28 x + 80

2 (x + 7)^{2} - 18

Solution steps

2 x^{2} + 28 x + 80

Write

2 x^{2} + 28 x + 80

in the form:

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

Factor out

2

2 (x^{2} + 14 x + 40)

2 a = 14 : a = 7

Add and subtract

7^{2}

2 (x^{2} + 14 x + 40 + 7^{2} - 7^{2})

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

x^{2} + 14 x + 7^{2} = (x + 7)^{2}

2 ((x + 7)^{2} + 40 - 7^{2})

Simplify

2 (x + 7)^{2} - 18

x^{2} - 3 x + 6

(x - 4) (x + 5) = - 18

5 n^{2} + 3 n - 36 = 0

3 x^{2} - 10 x - 13 = 0

3 x^{2} + 41 x + n = 0

What are the solutions to the equation completesquare 2x^2+28x+80 ?
The solutions to the equation completesquare 2x^2+28x+80 are 2(x+7)^2-18
Find the zeros of completesquare 2x^2+28x+80
The zeros of completesquare 2x^2+28x+80 are 2(x+7)^2-18