What are the solutions to the equation completesquare w^2+12w ?

The solutions to the equation completesquare w^2+12w are (w+6)^2-36

Find the zeros of completesquare w^2+12w

The zeros of completesquare w^2+12w are (w+6)^2-36

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complete the square

w^{2} + 12 w

(w + 6)^{2} - 36

Solution steps

w^{2} + 12 w

Write

w^{2} + 12 w

in the form:

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

2 a = 12 : a = 6

Add and subtract

6^{2}

w^{2} + 12 w + 6^{2} - 6^{2}

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

w^{2} + 12 w + 6^{2} = (w + 6)^{2}

(w + 6)^{2} - 6^{2}

Simplify

(w + 6)^{2} - 36

x^{2} - 30 = 7 x

x (x + 3) = 5 x + 3

m^{2} - 9 m = 0

x^{2} + 11 = 155

5 x^{2} + 9 x - 9 = 0

What are the solutions to the equation completesquare w^2+12w ?
The solutions to the equation completesquare w^2+12w are (w+6)^2-36
Find the zeros of completesquare w^2+12w
The zeros of completesquare w^2+12w are (w+6)^2-36