(4x - 12x^2)= 4x(1 - 3x)
(16y^3 + 12y^2) = 4y^2(4y + 3)
16xy^2(1 - 3x)(4y + 3)
627/100 or 6 27/100 is the answer
That comes out to 3x^2 + 4x - 6 Answer
Solving for a variable means to rewrite the equation so that the desired variable is alone on one side. So, we have to "move" all the other variables/constants in order to make this happen. We are allowed to add/subtract the same quantity from both sides, or to multiply/divide both sides by any non-zero number.
Let's start with the first example: we are given
11. 
the variable
is not alone on the right hand side because it is multiplied by
. We can reverse this by dividing both sides by
: the equation becomes

So, we have written the equation as
, which means that
now sits alone on one side of the equation, and thus we have solved the equation for
!
Similarly, we do all the others:
12. 
Subtract
from both sides to get

13. 
Subtract
from both sides to get

Now divide both sides by
to get

14. 
Multiply both sides by 2:

Divide both sides by
:

The value of
is 
<h3>
Sine ratio </h3>
The sine ratio is given as:

<h3>
Trigonometry</h3>
In trigonometry, we have the following ratio

Substitute
in the above equation

Collect like terms

Evaluate

Take square roots

Rationalize

From the question,
is in the second quadrant, and cosine is negative.
So, we have:

In trigonometry, we have:

So, we have:


Hence, the value of
is 
Read more about trigonometry ratios at:
brainly.com/question/10417664