SOLUTION: Rearrange the following equation to find x in terms of a and b, in simplest form (assume that a '= 4b): a(a − x) + 4b(x − 4b) = 0. This is my solution am i

Algebra.Com
Question 803467: Rearrange the following equation to find x in terms of a and b, in
simplest form (assume that a '= 4b):
a(a − x) + 4b(x − 4b) = 0.
This is my solution am i on the right track:
a^2-ax+4bx-16b^2=0
a^2-ax-0=4bx-16b^2
a^2-ax=4bx-16b^2
Now do i set each one to equal zero? on the algebra calculator i can see that the answer is x=4b+a but i have no idea how to get this answer. Thanks

Answer by oscargut(2103)   (Show Source): You can put this solution on YOUR website!
a(a − x) + 4b(x − 4b) = 0.
This is my solution am i on the right track:
a^2-ax+4bx-16b^2=0 (right)
(4b-a)x = 16b^2-a^2

(4b-a)x = (4b-a)(4b+a) , since a is not equal to 4b (4b-a is not 0)
x = 4b+a
If you need more help with similar questions, homework, assignments, you can contact me now at:
mthman@gmail.com
Thanks

RELATED QUESTIONS

If tan t = x and t is in quadrant I. Choose the sides a right triangle with t as one of... (answered by DrBeeee)
x-a=-x+a=4b (answered by Mathtut)
The symbol $ is defined by: a$b = a^2-4b^2 if x $y =3(y$x), express y in terms of... (answered by Edwin McCravy)
Hey, I'm having trouble with these 3 questions about quadratic equation and I can't do (answered by ewatrrr)
A geometric progression has 6 terms. The first term is 192 and the common ratio is... (answered by greenestamps)
Using the two special triangles and your knowledge of angles of any magnitude, find (answered by richard1234)
Pls help: {{{find x and y in terms of a and b if 4x - y = 3b - 2a and 3x + y = 4b -... (answered by Boreal)
1. Solve the equation below for d, in terms of a,b,and c. a/b = c/d 2. Solve the... (answered by Osran_Shri)
The first and second terms of a geometric progression are cos θ and sin θ (answered by KMST)