we can look at this this way hmmmm let's get the LCD of all denominators and multiply both sides by it, thus doing away with the denominators.
hmmm let's see, we have denominators of 12 and 9 really, let's do a quick prime factoring on each.
9 = 3 * 3 * 1
12 = 2 * 2 * 3 * 1
well, number 3 is repeated on both so we'll add it only once, the rest we use as well, that gives us an LCD of
3 * 3 * 2 * 2 * 1 = 36
notice, the common 3 to 12 and 9, was only used once in the LCD, the others come along. hmmm so anyhow, we have an LCD of 36, let's multiply both sides by it.
Answer:
The equivalent expression is 4(x + 4)
Step-by-step explanation:
Find the GCF of 4x + 16:
GCF means the greatest common factor. It is the greatest number that divide a number without remainder.
In this case the GCF is 4 as the common factors of 4 and 16 is 2, 4.
factor out the GCF by dividing each term in the expression by 4
4x divided by the GCF is x
and 16 divided by the GCF is 4
The equivalent expression is 4(x + 4)
X^2+12x+6=0 subtract 6 from both sides...
x^2+12x=-6 halve linear coefficient, square it, and add it to both sides...
x^2+12x+36=30 now the left side is a perfect square...
(x+6)^2=30 take square root of both sides...
x+6=30^(1/2) subtract 6 from both sides...
x=-6-30^(1/2) and -6+30^(1/2)