-12x - 0.4 > 0.2(36.5x + 80) - 55 Remove the brackets.
-12x - 0.4 > 7.3x + 16 - 55 Combine the like terms on the right
-12x - 0.4 > 7.3x - 39 Add 12x to both sides
- 0.4 > 7.3x + 12x - 39
- 0.4 > 19.3x - 39 Add 39 to both sides.
-0.4 + 39 > 19.3x Combine like terms on the left
38.6 > 19.3x Divide by 19.3
38.6 / 19.3 > x
2 > x
15 is 16.66666 percent of 90.
Answer:
x = 122 degrees
Step-by-step explanation:
Answer:
Given the equation: 
A quadratic equation is in the form:
where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;

Simplify:

Also, it is given that the difference of two roots of the given equation is
i.e,

Here,
, ......[2]
.....[3]
then;

simplify:

or

Squaring both sides we get;

Subtract 100 from both sides, we get

Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve 

or
or

Simplify:

Now, to solve for
;

or
or

Simplify:

therefore, the solution for the given equation is:
and -2.