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dem82 [27]
3 years ago
13

Whats the answer for 8x+4(4x-3)=4(6x+4)-4

Mathematics
2 answers:
meriva3 years ago
8 0
No solution
8x+4(4x-3)=4(6x+4)-4
8x+16x-12=24x+16-4
24x-12=24x-12
0=24
insens350 [35]3 years ago
7 0
<span>8x+4(4x-3)=4(6x+4)-4 is false</span>
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Find the LCM of 8 and 16.
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LCM stands for least common multiple, and so the LCM of two number is the smallest possible common multiple of the two numbers.

Since 16 is already a multiple of 8 (and since every number is a multiple of itself), the LCM between 8 and 16 is sixteen itself: it is a multiple of 8, it is a multiple of 16, and there couldn't be a smaller one.

Even though this case was trivial, let's do the computation to learn how to do this in general: first of all, you need the prime factorizations of the two numbers:

8 = 2^3,\quad 16 = 2^4

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In this case, 2 is the only prime to appear in both factorizations. So, we choose the one with higher exponent, which is 4, and the answer is 2^4=16, as we already observed.

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