What are the solutions to the equation completesquare 144x^2-864x ?

The solutions to the equation completesquare 144x^2-864x are 144(x-3)^2-1296

Find the zeros of completesquare 144x^2-864x

The zeros of completesquare 144x^2-864x are 144(x-3)^2-1296

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complete the square

144 x^{2} - 864 x

144 (x - 3)^{2} - 1296

Solution steps

144 x^{2} - 864 x

Write

144 x^{2} - 864 x

in the form:

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

Factor out

144

144 (x^{2} - 6 x)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

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

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

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

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

Simplify

144 (x - 3)^{2} - 1296

What are the solutions to the equation completesquare 144x^2-864x ?
The solutions to the equation completesquare 144x^2-864x are 144(x-3)^2-1296
Find the zeros of completesquare 144x^2-864x
The zeros of completesquare 144x^2-864x are 144(x-3)^2-1296