How do you factor $6 x^{2} = 600$ $6x^2 = 600$ ?

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How do you factor $6 x^{2} = 600$ $6x^2 = 600$ ?

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Answer 1 · 2016-03-25T15:20:00

$6 (x - 10) (x + 10) = 0$ $6(x-10)(x+10) = 0$

Explanation:

Begin by setting the equation equal to zero.

$6 x^{2} = 600$ $6x^2=600$

$6 x^{2} - 600 = 0$ $6x^2-600 = 0$
factor out 6

$6 (x^{2} - 100) = 0$ $6(x^2-100) = 0$
recognize that $(x^{2} - 100)$ $(x^2-100)$ is the difference of two squares
$(x) (x)$ $(x)(x)$ and $(10) (10)$ $(10)(10)$ with the signs being + and -

$6 (x - 10) (x + 10) = 0$ $6(x-10)(x+10) = 0$

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How do you factor $6 x^{2} = 600$ $6x^2 = 600$ ?

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How do you factor $6 x^{2} = 600$ $6x^2 = 600$ ?