# 12 times the square of a nonzero number is equal to 72 times the number. what is the number?

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Let number be x

12 x² = 72 x

x² = 6x

x² - 6x = 0

x (x - 6) = 0

x = 0 , x = 6

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• Anonymous

To solve this problem simply state it algebraically.

12 times the square of a nonzero number is the same as

12x^2

and 72 times the number is

72x

equate the two

12x^2 = 72x

dividing through by 12 we get

x^2 = 6x

divide through by x

x = 6

Hope this helps!

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• To Solve this we create an equation for it: 15x^2=12x Bring 12x on the other side:15x^2-12x=0 Factor x out: x(15x-12)=0 Two Possible answers: 15x-12=0 Bring 12 on the right side:15x=12 divide by 15: x=12/15 Don't Forget about the x you factored out, which is also a solution. The answer is x=12/15 and x=0

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• Anonymous

Let

x = number

Therefore,

12x^2 = 72x

Dividing both sides by "12x", the above simplifies to

x = 6

CHECK:

12(6^2) = 12 (36) = 432

72(6) = 432

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